Question 184·Easy·Math

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The area of a right triangle is 40 square meters. If the length of its base is 10 meters, what is the height, in meters, of the triangle?

Your answer

For geometry questions involving triangle area, immediately write the standard formula $A = \tfrac{1}{2}bh$ , then plug in the given values and solve algebraically for the missing variable. Be careful not to drop the $\tfrac{1}{2}$ factor, and simplify the numerical part (like $\tfrac{1}{2}b$ ) before solving the resulting one-step equation; this keeps the arithmetic quick and reduces mistakes.

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Recall the correct area formula

Think about the formula for the area of a triangle that uses base and height. It includes a factor of $\frac{1}{2}$ .

Substitute the given values

Plug in $40$ for the area and $10$ for the base into the triangle area formula, then write the equation in terms of $h$ .

Isolate the height

After simplifying the constants, you should get a simple one-step equation like $40 = k h$ . Solve this equation for $h$ by dividing.

Desmos Guide

Use Desmos to compute the height

In Desmos, type the expression (2*40)/10. The numerical result that Desmos shows is the value of the triangle's height in meters.

Step-by-step Explanation

Write the area formula for a triangle

For any triangle, the area is given by

A = \frac{1}{2} b h

where $A$ is the area, $b$ is the base, and $h$ is the height.

Substitute the known values

You are told:

The area is $40$ square meters, so $A = 40$ .
The base is $10$ meters, so $b = 10$ .

Substitute these into the formula:

40 = \frac{1}{2} \cdot 10 \cdot h

Simplify the equation

First simplify $\frac{1}{2} \cdot 10$ :

\frac{1}{2} \cdot 10 = 5

So the equation becomes

40 = 5h

Solve for the height

To isolate $h$ , divide both sides by $5$ :

\frac{40}{5} = h

So $h = 8$ . The height of the triangle is 8 meters.

Question 184·Easy·Math

Strategy

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Desmos Guide

Step-by-step Explanation

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Strategy

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Desmos Guide

Step-by-step Explanation