1. Find the length of the missing side in the given right triangle.1715А. 8В. 23С. 64D. 4

Answered: 1. Find the length of the missing side…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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1. Find the length of the missing side in the given right triangle.
17
15
А. 8
В. 23
С. 64
D. 4

Expert Solution

Step 1

Given,

Take the missing side of the given right angle be $X$

Using the pythagorean theorem, $a^{2} + b^{2} = c^{2}$ ......(1)

Here,

b=15

c=17

Apply the values in equation (1)

$X^{2} + 15^{2} = 17^{2} X^{2} + 225 = 289 X^{2} = 289 - 225 X^{2} = 16$

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1. Find the length of the missing side in the given right triangle. 17 15 А. 8 В. 23 С. 64 D. 4