Question

Find the value of x & z plz and give an explanation ( :

Answer 1

1. x = 6√2
2. x = √3

Explanation:

1. You have correctly written the relationship between the side lengths and the length of the hypotenuse for these isosceles right triangles.

For this problem, you simply need to multiply the side length by √2. The length of the hypotenuse is then ...

x = 6√2

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2. The side length multiplied by √2 is √6. You know

√6 = √(2·3) = (√2)(√3) = (√2) · (side length)

so we know that x = √3.