Question

Find the value of x A. does not exist B. -7 C. 26 D. 35

Answer 1

A. does not exist

Explanation:

Since this is a right triangle we can find the value of x using Phytagorian Theorem

(x-2)^2 = 12^2 + x^2

x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)

-4x = 144

x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.

Answer 2

A-does not exist

Explanation:

The pythagorian theorem :

• 12²+x²= (x-2)²
• 144+x²= x²-4x+4
• 144-4+x²-x²= -4x
• 140 = -4x
• x = 140/-4
• x= -35

That's absurd . A side cannot be negative since it's a distance

It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2