Question

Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Answer 1

Answer:

10

Step-by-step explanation:

since it is a right angle triangle

${x}^{2} = ({5 \sqrt{2} })^{2} +({5 \sqrt{2} })^{2}$

$x = \sqrt[2]{(5 \sqrt{2} )^{2} +( 5 \sqrt{2})^{2}}$

$x = \sqrt{(25 \times 2) + (25 \times 2)}$

$x = \sqrt{50 + 50}$

$x = \sqrt{100}$

$x = 10$