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Chapter 11: Q2. (page 431)

Find the area of each figure:

A triangle with sides3,4 and5.

Short Answer

Expert verified

The area of given figure is 6 square units.

Step by step solution

01

Step 1. Given information.

The sides of a triangle are 3,4and 5 .

02

Step 2. Analyse the given information.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

Since the triangle is a right angle triangle as it satisfy the Pythagoras theorem because

52=32+42

25=9+16

25=25

03

Step 3. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

b=Base of a triangle and h=Height of a triangle

04

Step 4. Find the area of given figure.

A=12bh

=12脳3脳4

=6 Square units.

Therefore, the area of given figure is 6 square units.

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Most popular questions from this chapter

a. Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of鈭�C will vary. Find the area of the parallelogram for each measure of鈭�C given30.

b. Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of鈭�C will vary. Find the area of the parallelogram for each measure of鈭�C
given 45.

c. Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of 鈭�Cwill vary. Find the area of the parallelogram for each measure of鈭�C given 60.

d. Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of鈭�C will vary. Find the area of the parallelogram for each measure of鈭�C given 90.

e. Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of鈭�C will vary. Find the area of the parallelogram for each measure of鈭�C given120.

Approximate your answers to parts (b), (c) and (e) using2鈮�1.4 and3鈮�1.7. Then record your answers to parts (a)-(c) on a set of axes like the one below.

Find the area of given figure?

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

Find the area of each figure:

Draw a rectangle. Then construct a square a square with equal area.
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