A scalene triangle has an area of 20.335 square centimeters. The height of the triangle is 8.3 centimeters. What is the length of its base?

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A scalene triangle has an area of 20.335 square centimeters. The height of the triangle is 8.3 centimeters. What is the length of its base?

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Answer 1 · 2018-03-30T17:17:17

The base is 4.3 centimeters long.

Explanation:

We know that the formula for the area of a triangle is

$A = \frac{b \cdot h}{2}$ $A = (b*h)/2$

Where the base is $b$ $b$ and the height is $h$ $h$ . We know what the height and the area are so we are going to reshape the formula to solve for $b$ $b$ .

$A = \frac{b \cdot h}{2} ∣ \cdot 2$ $A = (b*h)/2 | * 2$

$2 A = b \cdot h ∣ : h$ $2A = b*h | :h$

$\frac{2 A}{h} = b$ $(2A)/h = b$

And now we plug in the numbers:

$\frac{2 \cdot 20.335}{8.3} = b$ $(2 * 20.335)/8.3 = b$

$4.9 = b$ $4.9 = b$

So $b$ $b$ is 4.9 centimeters long.

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A scalene triangle has an area of 20.335 square centimeters. The height of the triangle is 8.3 centimeters. What is the length of its base?

1 Answer

Explanation:

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