What is the length of the hypotenuse of a right triangle

Ответ:

michellebreshears451

13.03.2022

Look at the picture.
Use the Pythagorean theorem:
h - a hypotenuse
$h^2=4^2+2^2\\\\h^2=16+4\\\\h^2=20\to h=\sqrt{20}\\\\h=\sqrt{4\cdot5}\\\\h=2\sqrt5$
The length of the hypotenuse is equal 2√5.
Other method.
Use the formula of the length of the segment AB:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$
We have:
$A(4;\ 2);\ B(8;\ 4)\\\\|AB|=\sqrt{(8-4)^2+(4-2)^2}=\sqrt{4^2+2^2}\\\\=\sqrt{16+4}=\sqrt{20}=\sqrt{4\cdot5}=2\sqrt5$

What is the length of the hypotenuse of a right triangle defined by the points (4, 2), (8, 2), and (

What is the length of the hypotenuse of a right triangle defined by the points (4, 2), (8, 2), and (

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Ответ:

2021arabellacorsino

11.02.2022

Mathematics

OK here's your answeejfjf

A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The c

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What is the length of the hypotenuse of a right triangle defined by the points (4, 2), (8, 2), and (8, 4)?

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