Question

If the area of a triangle is 100 in^2, and the height is 10in, find the length of the base in inches.
Round to the nearest inch if applicable.

Answer 1

Answer:

Area of a triangle is 100 in²

Height of triangle is 10 in .

we have been asked to find the length of its base .

Formula Used to Find length of its base

☯$\bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \:$

Put the given value we obtain

$\rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch$

So, the length of its base is 20 inch .

Answer 2

The base length of the triangle with the given values of area and length of height to the nearest inch 20in.

What is a triangle?

A triangle is a two-dimensional shape with three edges and three vertices.

The area of a triangle is expressed as;

A = (1/2) × base × height

Given the data in the question;

• Area of the triangle A = 100in²

• Length of Height = 10in

• Length of Base = ?

We substitute our given values into the expression above.

A = (1/2) × base × height

100in² = (1/2) × Base × 10in

100in² = 0.5 × 10in × Base

100in² = 5in × Base

Base = 100in² / 5in

Base = 20in

Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.

Learn more on area of traingle here: https://brainly.com/question/11952845

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