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Find the exact value of y.

Find the exact value of y.-example-1

1 Answer

10 votes

Answer:


y = 2√(10)

Explanation:

In left small right triangle: we have the square of left side = 5^2 + y^2 = 25 + y^2

In right small right triangle: we have the square of right side = 8^2 + y^2 = 64 + y^2

In the large right triangle, we have (25 + y^2) + (64 + y^2) = (5 + 8)^2

89 + 2y^2 = 13^2 = 169

2y^2 = 169 - 89 = 80

y = 80/2 = 40

so


y=√(40) = 2√(10)

User Sharun
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