Question

Analyze the diagram below and complete the instructions that follow.

Answer 1

This is an isosceles triangle, so both legs are of length 5√2.

Use the Pyth. Thm. to find the length of the hypotenuse. Square 5√2 and double the result: 25(2) = 50; twice 50 is 100. The square of the length of the hyp. is 100, and so the length of the hyp is sqrt(100), or 10 (answer).

Answer 2

Option C.

Explanation:

In the diagram attached, we can see that the given triangle is a right angle triangle.

Now we can apply Pythagoras theorem to evaluate the value of x.

Hypotenuse² = (Side 1)² + (Side 2)²

x² = (5√2)² + (5√2)² [Since side 1 = side 2]

x² = 50 + 50

x² = 100

x = √100 = 10

Therefore, option C. is the answer.