Question

Find a area of right angle triangle with base 10cm and hypotenuse 26cm

Answer 1

The area of triangle is 120 cm².

Explanation:

First, you have to calculate the height of the triangle using Pythogorem Theorem :

`{a}^(2) + {b}^(2) = {c}^(2)`

Let a = base = 10 cm,

Let b = height = h cm,

Let c = hypotenuse = 26 cm,

`{10}^(2) + {h}^(2) = {26}^(2)`

`{h}^(2) = {24}^(2) - {10}^(2)`

`{h}^(2) = 576`

`h = √(576)`

`h = 24 \: cm`

We have found out that the height is 24 cm. Next, we have to use the area of triangle formula :

`area = (1)/(2) * base * height`

Let base = 10cm,

Let height = 24cm,

`area = (1)/(2) * 10 * 24`

`area = (1)/(2) * 240`

`area = 120 \: {cm}^(2)`