Chapter 11: Q27. (page 432)

$\bar{A M}$ is a median of $△ A B C$
If $B C = 16$ and $h = 5$ , find the areas of $△ A B C$ and $△ A M B$

Short Answer

Expert verified

The area of $△ A B C$ is $40 s q . u n i t$ and $△ A B C$ is $20 s q . u n i t$

Step by step solution

Step 1. Modify the given diagram.

Given that base b= and Height h=5

Step 2. Find the area of first triangle.

Area of triangle ABC can be found using the formula

$\begin{array}{l} A = \frac{1}{2} b h \\ A = \frac{1}{2} (16) (5) \\ A = 40 s q . u n i t \end{array}$

Step 3. Find the area of second triangle.

Area of triangle $△ A M B$ can be found using the formula

$\begin{array}{l} A = \frac{1}{2} b h \\ A = \frac{1}{2} (8) (5) \\ A = 20 s q . u n i t \end{array}$

Therefore, the area of $A B C$ is $40 s q . u n i t$ and area of $△ A M B$ is $20 s q . u n i t$

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$\bar{A M}$ is a median of $△ A B C$
If $B C = 16$ and $h = 5$ , find the areas of $△ A B C$ and $△ A M B$

Short Answer

Step by step solution

Step 1. Modify the given diagram.

Step 2. Find the area of first triangle.

Step 3. Find the area of second triangle.

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AM¯is a median of△ABCIfBC=16andh=5, find the areas of△ABCand△AMB

Short Answer

Step by step solution

Step 1. Modify the given diagram.

Step 2. Find the area of first triangle.

Step 3. Find the area of second triangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

$\bar{A M}$ is a median of $△ A B C$
If $B C = 16$ and $h = 5$ , find the areas of $△ A B C$ and $△ A M B$