Question

Find the value of x
26 26 6

Answer 1

`\sqrt{26^(2) - 24^(2)} = √((26-24)(26+24)) = √(2(50)) = √(100) = 10 \\`

`x = \sqrt{10^(2) - 6^(2)} = √(100 -36) = √(64) = 8 \\`

`\implies \bf x = 8`

Answer 2

8

Explanation:

Begin with the bigger right angle triangle

Hypotenuse is 26, second side is 24, third side is unknown (a)

26² - 24² = a²

676 - 576 =a²

100 = a²

Therefore a is 10

Now use the value of a which is 10 to solve the smaller triangle

Hypotenuse is 10, one side is 6, third side x is unknown

10²- 6²= x²

100 - 36 =x²

64 =x²

X is 8