Triangle ABC is a right triangle. The shortest side is 7 m long and the longest side is 10 m long. What is the approximate length of the third side?

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Triangle ABC is a right triangle. The shortest side is 7 m long and the longest side is 10 m long. What is the approximate length of the third side?

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Answer 1 · 2018-06-30T12:11:11

The length of the third side is $\sqrt{51} m \approx 7.141 m$ $sqrt(51)"m"~~7.141"m"$

Explanation:

The longest side in a right triangle is the hypotenuse which we know is 10 m long. We can choose any of the two legs to be 7 m long. Let the length of the remaining side be $a$ $a$ . Pythagoras' theorem states that $a^{2} + b^{2} = c^{2}$ $a^2+b^2=c^2$ where $a$ $a$ and $b$ $b$ are the legs of a right triangle and $c$ $c$ is the hypotenuse.
$:.a^2+7^2=10^2$
$a^2=51$
$a=sqrt(51)~~7.141$

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Triangle ABC is a right triangle. The shortest side is 7 m long and the longest side is 10 m long. What is the approximate length of the third side?

1 Answer

Explanation:

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