Mathematics: Abc is a right triangle. if ab = 3 and ac = 7, find bc. leave your answer in simplest radical form.

Abc is a right triangle. if ab = 3 and ac = 7, find

Ответ:

marissaa190

13.03.2022

1. Suppose that BC is hypotenuse, then by Pythagorean theorem:
$BC^2=AC^2+AB^2, \\ BC^2=3^2+7^2, \\ BC^2=9+49, \\ BC^2=58, \\ BC= \sqrt{58}$ .
2. If BC is not hypotenuse, then BC is a leg and AC is hypotenuse (because AC>AB). Hence by Pythagorean theorem:
$AC^2=AB^2+BC^2, \\ 7^2=3^2+BC^2, \\ BC^2=49-9, \\ BC^2=40, \\ BC= \sqrt{40} =2 \sqrt{x10}$ .

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Ответ:

alyssa9778

05.04.2021

Mathematics

It may be possibly 4 out of 9

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Abc is a right triangle. if ab = 3 and ac = 7, find bc. leave your answer in simplest radical form.

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