Question

In the diagram, angle abc is a right angle. Find the value of x

Show full working out pls ty

Answer 1

x = 3.75

Explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

`{(10 - x)}^(2) = {x}^(2) + {5}^(2) \\ 100 - 20x + {x}^(2) = {x}^(2) + 25 \\ 100 - 20x = 25 \\ - 20x = 25 - 100 \\ - 20x = - 75 \\ x = ( - 75)/( - 20) \\ \: \: \huge \red { \boxed{x = 3.75}}`