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What is the length of leg y of the right triangle? 24 26 y 010 0 14 024 026​

What is the length of leg y of the right triangle? 24 26 y 010 0 14 024 026​-example-1
User Zak Linder
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1 Answer

11 votes

Answer:

If the unknown side is a leg, the hypotenuse must be 26 (the longest of the other two sides). Then the Pythagorean theorem tells you

... 26² = 24² + y²

... y = √(26² -24²) = √100 = 10

The appropriate choice is

... 10

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You may recognize that this triangle is double the often-used Pythagorean triple (5, 12, 13).