Question

If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg

Answer 1

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find
`\sqrt{84\\`

Answer 2

The length of the other leg is 5cm

Explanation:

Area of a right triangle = ½ * Base * Height.

Given:

Base = 4cm

Height (Length) = ??

Area = 10cm²

Area = ½ bh

10cm² = ½ * 4 * h

10cm² = 2h

Let's divide through by 2cm

h = 10cm² / 2cm

h = 5cm

The length of the other leg is 5cm