/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 358 The length of one leg of a right... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 358 (page 894)

The length of one leg of a right triangle is three feet more than the other leg. If the hypotenuse is 15feet, find the lengths of the two legs.

Short Answer

Expert verified

The lengths of the two legs are9feet and12feet.

Step by step solution

01

Step 1. Given information

The length of one leg of a right triangle is three feet more than the other leg.

If the hypotenuse is 15feet .

02

Step 2. Assuming base and height

Let base be xfeet.

Let height bex+3feet.

03

Step 3. Using Pythagoras theorem

Hypotenuse虏 = Base虏 + Height虏

152=x2+(x+3)2 225=x2+x2+9+6x225=2x2+6x+92x2+6x+9-225=02x2+6x-216=0

2(x2+3x-108)=0x2+3x-108=0

04

Step 4. Factoring

x2+3x-108=0x2+12x-9x-108=0x(x+12)-9(x+12)=0(x-9)(x+12)=0

05

Step 5. Finding values

As,

(x+12)(x-9)=0

So, x+12=0x=-12 and x-9=0x=9

As, length cannot be negative. So, Base is 9feet.

Height :-

=x+3=9+3=12 feet.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The product of two consecutive integers is 240. Find the integers.

Factor Trinomials of the form x2+bx+c

k2鈭�16k+60

Factor Trinomials of the form x2+bx+c

u2+17u+72

Factor by grouping

m3+m2+m+1

In the following exercises, factors completely:

6u2+3u-18.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.