Question

Hector and Evelyn are solving the following problem. Find x,y, and z in this 45-45-90 triangle.

Answer 1

Answer: A. They are both incorrect

Step-by-step explanation:

x=3√2

y=6

z=3√2

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45-45-90=1:1:√2

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solve for x

x is the side accordingly to 90 in the smaller triangle, so it should be the [45] side times √2

3×√2=3√2

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solve for y

y is the side accordingly to 90, so it should be the [45] side times √2

3√2×√2=6

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solve for z

z is the side accordingly to 45 in the bigger triangle, x is also accordingly to 45 in the bigger triangle

z=x

z=3√2