/*! 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} Q14. The base of an isosceles triangl... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q14. (page 221)

The base of an isosceles triangle has length 12. What can you say about the length of a leg?

Short Answer

Expert verified

Leg of the isosceles triangle must have length in between 6 and 18.

Step by step solution

01

Step 1. Apply the concept of isosceles triangle.

An isosceles triangle is a triangle that has two sides of equal length.

Any leg of a triangle must be less than the sum of two sides of triangle.

02

Step 2. Step description.

Consider that an isosceles triangle ABC as below:

Draw a perpendicular from point A.

Thus, AD bisect the base BC.

CD=6

Thus, the leg of the isosceles triangle must be greater than 6.

03

Step 3. Step description.

Also, any leg of a triangle must be less than the sum of two sides of triangle.

Therefore,

AC<6+12AC<18

Hence the leg of the isosceles triangle must be in between 6 and 18

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

Arrange sentences (a)-(e) in an order that completes an indirect proof of the following statement: In a plane, two lines perpendicular to a third line are parallel to each other.

Given: Lines a, b and t lie in a plane; a鈯�t;b鈯�t

Prove: a鈥�b

(a) Then a intersects b in some point Z.

(b) But this contradicts the theorem which says that there is exactly one line perpendicular to a given line through a point outside the line.

(c) It is false that a is not parallel to b, and it follows that a鈥�b

(d) Assume temporarily that a is not parallel to b.

(e) Then there are two lines through Z and perpendicular to t.

Classify the following conditional as true or false. Then state its inverse and contrapositive and classify each of these as true or false.

If 鈭�Ais acute, then m鈭�A鈮�100.

Write an indirect proof in paragraph form.

Given: Coplanar lines l,k,n; n intersects l; in P; l鈥�k.

Prove: n intersects k.

For the following conditional, write the inverse of the statement and find the inverse is true or false.

If 螖ABCis acute, then m鈭�C鈮�90.

For the following conditional statement, classify the statement as true or false.

If y>20, then y>18.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

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.