The shortest side of a right triangle measures 7

Ответ:

mrashrafkotkaat

13.03.2022

If the lengths of the other two sides are consecutive integers, then the second leg is n and the hypotenuse is n+1. By the Pythagorean theorem:

$(\text{hypotenuse})^2=(\text{leg}_1)^2+(\text{leg}_2)^2,\\ (n+1)^2=n^2+7^2,\\ n^2+2n+1=n^2+49,\\ 2n+1=49,\\ 2n=48,\\ n=24$

and

n+1=25.

the unknown sides have lengths 24 and 25.

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Ответ:

macattack6276

23.02.2020

Mathematics

Explanation:

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The shortest side of a right triangle measures 7 m. the lengths of the other two sides are consecutive integers - the hypotenuse being the longer of the two. find the lengths of the other two sides.

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