Scroll:Measurement >> Area of Triangle >> ps (1515)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 48cm.
What is the area of the triangle 




cm2


Answer:_______________




2)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 108cm.
What is the area of the triangle 




cm2


Answer:_______________




3)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 276cm.
What is the area of the triangle 




cm2


Answer:_______________




4)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 192cm.
What is the area of the triangle 




cm2


Answer:_______________




5)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 120cm.
What is the area of the triangle 




cm2


Answer:_______________




6)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 156cm.
What is the area of the triangle 




cm2


Answer:_______________




7)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 60cm.
What is the area of the triangle 




cm2


Answer:_______________




8)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 216cm.
What is the area of the triangle 




cm2


Answer:_______________




9)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 132cm.
What is the area of the triangle 




cm2


Answer:_______________




10)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 24cm.
What is the area of the triangle 




cm2


Answer:_______________




 

1)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 48cm.
What is the area of the triangle 




Answer: 96 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 48 cm

             1 unit = 48 cm ÷ 12

                      = 4 cm

Step 2: AB → 3 units = 3 x 4 cm

                                   = 12 cm

Step 3:  BC → 4 units = 4 x 4 cm

                                   = 16 cm

Step 4: Area of triangle → 12 x 12 cm x 16 cm = 96 cm2



2)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 108cm.
What is the area of the triangle 




Answer: 486 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 108 cm

             1 unit = 108 cm ÷ 12

                      = 9 cm

Step 2: AB → 3 units = 3 x 9 cm

                                   = 27 cm

Step 3:  BC → 4 units = 4 x 9 cm

                                   = 36 cm

Step 4: Area of triangle → 12 x 27 cm x 36 cm = 486 cm2



3)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 276cm.
What is the area of the triangle 




Answer: 3174 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 276 cm

             1 unit = 276 cm ÷ 12

                      = 23 cm

Step 2: AB → 3 units = 3 x 23 cm

                                   = 69 cm

Step 3:  BC → 4 units = 4 x 23 cm

                                   = 92 cm

Step 4: Area of triangle → 12 x 69 cm x 92 cm = 3174 cm2



4)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 192cm.
What is the area of the triangle 




Answer: 1536 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 192 cm

             1 unit = 192 cm ÷ 12

                      = 16 cm

Step 2: AB → 3 units = 3 x 16 cm

                                   = 48 cm

Step 3:  BC → 4 units = 4 x 16 cm

                                   = 64 cm

Step 4: Area of triangle → 12 x 48 cm x 64 cm = 1536 cm2



5)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 120cm.
What is the area of the triangle 




Answer: 600 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 120 cm

             1 unit = 120 cm ÷ 12

                      = 10 cm

Step 2: AB → 3 units = 3 x 10 cm

                                   = 30 cm

Step 3:  BC → 4 units = 4 x 10 cm

                                   = 40 cm

Step 4: Area of triangle → 12 x 30 cm x 40 cm = 600 cm2



6)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 156cm.
What is the area of the triangle 




Answer: 1014 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 156 cm

             1 unit = 156 cm ÷ 12

                      = 13 cm

Step 2: AB → 3 units = 3 x 13 cm

                                   = 39 cm

Step 3:  BC → 4 units = 4 x 13 cm

                                   = 52 cm

Step 4: Area of triangle → 12 x 39 cm x 52 cm = 1014 cm2



7)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 60cm.
What is the area of the triangle 




Answer: 150 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 60 cm

             1 unit = 60 cm ÷ 12

                      = 5 cm

Step 2: AB → 3 units = 3 x 5 cm

                                   = 15 cm

Step 3:  BC → 4 units = 4 x 5 cm

                                   = 20 cm

Step 4: Area of triangle → 12 x 15 cm x 20 cm = 150 cm2



8)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 216cm.
What is the area of the triangle 




Answer: 1944 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 216 cm

             1 unit = 216 cm ÷ 12

                      = 18 cm

Step 2: AB → 3 units = 3 x 18 cm

                                   = 54 cm

Step 3:  BC → 4 units = 4 x 18 cm

                                   = 72 cm

Step 4: Area of triangle → 12 x 54 cm x 72 cm = 1944 cm2



9)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 132cm.
What is the area of the triangle 




Answer: 726 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 132 cm

             1 unit = 132 cm ÷ 12

                      = 11 cm

Step 2: AB → 3 units = 3 x 11 cm

                                   = 33 cm

Step 3:  BC → 4 units = 4 x 11 cm

                                   = 44 cm

Step 4: Area of triangle → 12 x 33 cm x 44 cm = 726 cm2



10)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 24cm.
What is the area of the triangle 




Answer: 24 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 24 cm

             1 unit = 24 cm ÷ 12

                      = 2 cm

Step 2: AB → 3 units = 3 x 2 cm

                                   = 6 cm

Step 3:  BC → 4 units = 4 x 2 cm

                                   = 8 cm

Step 4: Area of triangle → 12 x 6 cm x 8 cm = 24 cm2