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What is the length of leg y of the right triangle?

A right triangle with hypotenuse 85 and legs 84 and y

2 Answers

6 votes

Answer:

The length of leg y=13

Explanation:

5 votes

Solution :

Given a right triangle with hypotenuse 85 and legs 84 and y.

Use Pythagoras theorem, to find the length of the leg y of the right triangle.

According to Pythagoras theorem,


(hypotenuse)^(2) = leg_(1)^(2)+leg_(2)^(2)

As given in the question,


hypotenuse = 85 \\\\leg_(1) = 84\\\\leg_(2) = y

Put these values,


\Rightarrow 85^(2)=84^(2) +y^(2) \\\\\Rightarrow y^(2)=85^(2)-84^(2)\\\\\Rightarrow y =\sqrt{85^(2)-84^(2)} \\\\\Rightarrow y =√(169)\\\\\Rightarrow y =13

Hence, the length of leg y =13.

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