/*! 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. 9 In the following figure, a trape... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 9 (page 199)

In the following figure, a trapezoidABCDhas a medianMN炉 . If DC=42,MN=35 then find AB.

Short Answer

Expert verified

The measure ofAB=28units.

Step by step solution

01

Step 1- Apply the concept of midsegment theorem.

The trapezoid midsegment theorem states that the length of the midsegment is equal to the sum of the base lengths divided by 2.

02

Step 2- Check the figure.

Consider the figure.

03

Step 3- Step description.

HereMN is the median and DC=42,MN=35.

Use the mid-segment theorem and find the value of AB as follows:

MN=AB+DC235=AB+422AB+42=70AB=28

Therefore, the measure of AB=28units.

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

What values must x and y have to make the quadrilateral a parallelogram?

鈻�DECKis a parallelogram. Complete.

Ifm鈭�1=3x,m鈭�2=4x and m鈭�3=x2-70then x=?andm鈭�CED=? (numerical answers).

PQRS is a parallelogram. Find the values of a, b, x and y.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

For the following figure, if WR炉鈯�CE炉then name all segments congruent to WE炉.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Calculus

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.