/*! 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} Q33. Derive a formula for the area of... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q33. (page 427)

Derive a formula for the area of the triangle shown by using the formula for the area of a rectangle.

Short Answer

Expert verified

The area of triangle isA=12bh .

Step by step solution

01

Step 1. Given information.

Given a figure,

02

Step 2. Concept  Used.

The area of the rectangle is
A=bh

03

Step 3. Let’s derive the formula of area of triangle using the area of rectangle.

We know that the diagonal of the rectangle divide the rectangle in two parts having equal areas.

Thus,

A1=A2...(i)A3=A4...(ii)

Area of rectangle

A=A1+A2+A3+A4bh=2(A1+A3)A1+A3=12bh

Therefore, the area of the triangle is.12bh

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 base of a rectangle is 40cmand perimeter is100cm. What is the area and height of the rectangle?

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

Find the area of each figure:

A rhombus with a120鈭�angle and sides 6cm

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

Find the area of each figure:
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

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.