Question

8. If the two sides of right triangle are equal and the square of hypotenuse measures 128 cm?, find the length of each side.plz help me.. ​

Answer 1

Hope this helps

By the way keep good questions from now on

Answer 2

Answer :-

The length of two sides of triangle are 8cm and 8cm.

Step-by-step explanation

To Find :-

• The length of two equal sides of a right angled triangle.

S o l u t i o n --

Given that,

The two sides of a right triangle are equal.

The square of hypotenuse is 128cm.

As we know that,

P² + B² = H²

Where,

• P = Perpendicular
• B = Base
• H = Hypotenuse.

According the question,

Given, The two sides of a right triangle are equal and length of hypotenuse is provided.

So, Perpendicular and Base are equal.

ㅤㅤㅤㅤㅤㅤㅤAssumption

Let us assume the perpendicular and base as (x)cm and (x)cm.

Therefore,

ㅤㅤ★ㅤㅤ(x)² + (x)² = 128

On solving,

→ x² + x² = 128

→ 2x² = 128

→ x² = 128/2

→ x² = 64

→ x = √64

→ x = 8

We got, The value of x as 8.

Hence, The length of two sides of triangle are 8cm and 8cm.