BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 84RE

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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