Question

If the sides of the triangle are 9 cm, 6 cm and 5 cm respectively then the area of triangle is______ *(option are given below)
1)200 sq.cm
2)50 sq. cm
3)10 √2 sq. cm

Answer 1

Answer:

I hope that it will help you.

Answer 2

Given : The sides of the triangle are 9 cm, 6 cm and 5 cm respectively.

To find : The area of the triangle.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the area of the triangle)

Here, we will be using the Heron's formula.

First side (a) = 9 cm

Second side (b) = 6 cm

Third side (c) = 5 cm

Now, semi-perimeter (s) of the given triangle :

= (Perimeter ÷ 2)

= (9 + 6 + 5) ÷ 2

= 20 ÷ 2

= 10 cm

So, the area will be (according to Heron's formula) :

$= \sqrt{s \times (s - a)\times (s - b) \times (s - c)}$

(Here, s = semi-perimeter ; a,b and c = sides of the triangle)

By, putting the available data in the above mentioned mathematical formula, we get :

$= \sqrt{10 \times (10 - 9) \times (10 - 6) \times (10 - 5)}$

$= \sqrt{10 \times 1 \times 4 \times 5}$

$= \sqrt{200}$

= 10√2 sq. cm

(This will be considered as the final result of the given mathematical problem.)

Hence, the area of the triangle is 10√2 sq. cm