Respuesta :

#1. x= 5

(because it’s a 3,4,5 triangle and follows pythagorean theorem)

#2. x= 9

(225-144= 81, square root of 81 is 9)

#3. x= 8

(100-36= 64, square root of 64 is 8)

hope this helps!

The value of x is 9 in triangle 1

The value of x is 8 in triangle 2

The value of x is 5 in triangle 3

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

The hypotenuse = 17

Let, perpendicular = 8 and base = 15

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base²=hypotenuse²

In triangle 1

x² + 12² =  15²

x² =  15² - 12²

x² =  225 - 144

x² =  81

x = 9

In triangle 2

x² + 6² =  10²

x²  =  10² -  6²

x²  = 100 -  36

x²  = 64

x = 8

In triangle 3

4² + 3² =  x²

x²  =  16 +  9

x²  = 25

x = 5

Learn more about right triangle here:

brainly.com/question/6322314

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