Chapter 3: Q. 394 (page 408)

What is the height of a triangle with area $67.5$ square meters and base $9$ meters?

Short Answer

Expert verified

The height of the triangle is $15$ meters.

Step by step solution

Step 1. Given Information

It is given that the area of a triangle is $67.5$ square meters and the length of the base is $9$ meters.

The objective is to find the height of the triangle.

Step 2. Concept Used

The area of a triangle having base as $b$ and height as $h$ is given by the formula $A = \frac{1}{2} b h$ .

Step 3. Find the height

In the formula $A = \frac{1}{2} b h$ , substitute $67.5$ for $A$ and $9$ for $b$ and we get

role="math" $67.5 = \frac{1}{2} \times 9 \times h 67.5 = 4.5 h$

Now divide both sides by $4.5$ .

$\begin{array}{rcl} \frac{67.5}{4.5} & = & \frac{4.5 h}{4.5} \\ 15 & = & h \end{array}$

So the height of the triangle is $15$ meters.

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What is the height of a triangle with area $67.5$ square meters and base $9$ meters?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept Used

Step 3. Find the height

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What is the height of a triangle with area 67.5 square meters and base 9 meters?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept Used

Step 3. Find the height

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

What is the height of a triangle with area $67.5$ square meters and base $9$ meters?