Question

What is the value of x?


x=_____

Answer 1

X = 6

Explanation:

This is a right angled triangle. Thus, pythagoras theorem will be best for its solution.

Hypotenuse squared = height squared + base squared

SH² = H² + B²

10² = x² + 8²

100 = x² + 64

10 – 64 = x² + 64 – 64 (grouped like terms)

36 = x²

Root of both sides

Therefore x = 6

Answer 2

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