Respuesta :

Answer:

x = 8 cm

Step-by-step explanation:

Using the Pythagorean theorem:

x² = 10² - 6² = 100 - 36 = 64

x = √64 = 8

The length or value of x in the given right angle triangle will be 8 cm.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.

In a triangle, the sum of all three angles is 180°.

Given a right-angle triangle with

Hypotaneous = 10cm

Perpendicular = 6 cm

Base = x ( need to find out).

By Pythagoras theorem,

Base² = Hyp² - Perp²

Base² = 10² - 6²

Base² = 100 - 36

Base = √(64) = 8 cm

Hence the base of the given triangle will be 8 cm.

For more information about triangle

https://brainly.com/question/2773823

#SPJ5