Find the length of the leg x. Enter the exact value, not a decimal approximation.9.16

Answered: Find the length of the leg x. Enter the…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter9: Real Numbers And Right Triangles

Section9.5: The Distance And Midpoint Formulas

Problem 1E

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Find the length of the leg x. Enter the exact value, not a decimal approximation.
9.
16

Expert Solution

Step 1 Introduction:

Right Angled Triangle: A Right angled triangle is also known as Right triangle in which one angle is a right angle. In right angled triangle we have three sides like Hypotenuse, opposite side and adjacent side. The opposite side of the right angle is called Hypotenuse. In this triangle, right angle must be 90^o.

The formula for the right angled triangle based on the Pythagoras Theorem is

AC² = AB² + BC² where angle B = 90^o i.e., the squares of the Hypotenuse is equal to sum of the squares of other two sides.

Here AC is Hypotenuse

AB is Opposite side

BC is Adjacent side

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