A triangle has squares on its three sides as shown below. What is the value of x? x cm
6 cm
8 cm
A) 2 centimeters
B) 6 centimeters
C) 8 centimeters
D) 10 centimeters

D

Step-by-step explanation:

This is an illustration of Pythagoras' identity.

The square on the hypotenuse x of a right triangle is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 6² = 64 + 36 = 100 ( take the square root of both sides )

x = = 10 cm → D

D. 10 cm

The answer is 10 cm. This can be found through the use of Pythagorean. Theorem because it is a right triangle and you are finding the hypotenuse.

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second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.