# The lengths of other two sides of the triangle. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 84RE
To determine

## To calculate: The lengths of other two sides of the triangle.

Expert Solution

The length of other two sides are 12 cm, 16 cm.

### Explanation of Solution

Given information:

The length of hypotenuse =20 cm.

Calculation:

By using the Pythagoras theorem, we get:

Hypotenuse2=Base2+Perpendicular2

x2+78456x+x2=4002x256x+384=0

x228x+192=0

Quadratic equation (in our case) has the following solutions:

ax2+bx+c=0x228x+192=0

Let’s solve the equation step by step

x228x+192=0

(x12)(x16)=0Therefore,

x12=0 or x16=0x=12 or x=16

The other two sides of the triangle are 12 cm and 16 cm .

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