/*! 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} Q36. The base of a triangle is 1cm lo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q36. (page 433)

The base of a triangle is 1cm longer than its altitude. If the area of the triangle is210cm2, how long is the altitude ?

Short Answer

Expert verified

The length of the altitude is20 cm.

Step by step solution

01

Step 1. Analyze the given information.

The area of triangleA=210cm2

Let the altitude bex .

According to the question,

The base of a triangle is1cm longer than its altitude, then the base of triangle will beb=x+1

02

Step 2. Concept Used.

Area of triangle can be found using the formula

A=12bh

Where, b= base and h= height of triangle.

03

Step 3. Use formula of the area of triangle.

A=12bhA=12(x+1)(x)210=x2+xx2+x鈭�210=0(x+21)(x鈭�20)=0x=鈭�21,20

Since the length can not be negative,

Therefore, the length of the altitude is20cm .

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

Find the area of each figure:

A triangle with sides3,4 and5.

Find the area of a square with diagonals of lengthd

Find the area of each figure:

A parallelogram with45鈭�angle and sides 6and 10

The height of a rectangle is 8cmand area is120cm2.What is the base?

Consecutive sides of the figures are perpendicular. Find the area of each figure.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

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.