Question

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

Answer 1

Answer:

The area of triangle is 120 cm².

Step-by-step 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,

${10}^{2} + {h}^{2} = {26}^{2}$

${h}^{2} = {24}^{2} - {10}^{2}$

${h}^{2} = 576$

$h = \sqrt{576}$

$h = 24 \: cm$

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

$area = \frac{1}{2} \times base \times height$

Let base = 10cm,

Let height = 24cm,

$area = \frac{1}{2} \times 10 \times 24$

$area = \frac{1}{2} \times 240$

$area = 120 \: {cm}^{2}$