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CaHeK987 [17]
2 years ago
11

Solve for y given that this is a right triangle. Simplify answers completely. No decimals.

Mathematics
1 answer:
Irina18 [472]2 years ago
8 0

Answer:

y = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² = 8² + 4² = 64 + 16 = 80 ( take the square root of both sides )

y = \sqrt{80} = \sqrt{16(5)} = 4\sqrt{5} ← exact value

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