Answer:
b = 6
Step-by-step explanation:
The legs (which form the L shape) are a and b. The hypotenuse (diagonal) is c. Plugin the values into the Pythagorean Theorem and solve for b.
[tex]a^{2} +b^{2} =c^{2} \\8^{2} +b^{2} =10^{2} \\64 +b^{2} =100\\64 - 64 + b^{2} =100 - 64\\b^{2} = 36\\\sqrt{b^{2} } = \sqrt{36} \\b = 6[/tex]
You take the square root of b squared to cancel out the exponent.
