Question

Find the value of h in the triangle

Answer 1

it's a right triangle, you find the area, then you multiply the area by 2 and divide it by the base and you have the height.

12 * 18.2 : 2 = 109.2 m (Area)

109.2 * 2 : 20 = 10.92 (h)

Answer 2

10.02 meters.

Explanation:

We have been given two right triangles. We are asked to find the value of h for our given triangles.

Using Pythagoras theorem, we will find hypotenuse of bigger triangle.

`12^2+18.2^2=x^2`

`144+331.24=x^2`

`475.24=x^2`

`x=√(475.24)`

`x=21.8`

We will use area of triangle formula to solve our given problem.

`\text{Area of triangle}=(1)/(2)* (\text{Base*Height})`

`\text{Area of triangle}=(1)/(2)* (12*18.2)`

The area of the triangle would be:

`\text{Area of triangle}=(1)/(2)* (21.8*h)`

Upon equating both equations, we will get:

`(1)/(2)* (21.8*h)=(1)/(2)* (12*18.2)`

`10.9h=6*18.2`

`(10.9h)/(10.9)=(6*18.2)/(10.9)`

`h=(109.2)/(10.9)`

`h=10.018`

Therefore, the value of h for our given triangle is 10.02 meters.