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Chapter 11: Q27. (page 432)

AM炉is a median of鈻�ABC

IfBC=16andh=5, find the areas of鈻�ABCand鈻�AMB

Short Answer

Expert verified

The area of 鈻�ABCis40鈥夆赌�sq.鈥夆赌�unit and 鈻�ABCis20鈥夆赌�sq.鈥夆赌�unit

Step by step solution

01

Step 1. Modify the given diagram.

Given that base b= and Height h=5

02

Step 2. Find the area of first triangle.

Area of triangle ABC can be found using the formula

A=12bhA=12(16)(5)A=40鈥夆赌�sq.鈥夆赌�unit

03

Step 3. Find the area of second triangle.

Area of triangle鈻�AMBcan be found using the formula

A=12bhA=12(8)(5)A=20鈥夆赌�sq.鈥夆赌�unit

Therefore, the area ofABC is 40鈥夆赌�sq.鈥夆赌�unitand area of鈻�AMB is20鈥夆赌�sq.鈥夆赌�unit

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Most popular questions from this chapter

The base of a rectangle is 8cmand height 3cm.What is the area?

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.

a. Use the diagram at the right. Find the area of鈻�PQRS.

b. Use the diagram at the right. Find the area of鈻�PSR.

c. Use the diagram at the right. Find the area of鈻�OSR. (Hint: Refer to鈻�PSR and use Exercise28).

d. Use the diagram at the right. What is the area of鈻�PSO?

e. Use the diagram at the right. What must the area of鈻�POQbe? Why? What must the area of鈻�OQR be?

f. Use the diagram at the right. State what you have shown in parts (a)-(e) about how the diagonals of a parallelogram divide the parallelogram.

Find the area of each figure:

A rhombus with a120鈭�angle and sides 6cm

The base of a rectangle is(k+7)and perimeter(4k+20). What is the area and height of the rectangle?
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