Question

Write an algebraic expression to represent the area of the triangle (Area = 1/2 ×base ×height) given that the length is 6 inches greater than the height. Then evaluate it to find the area when h=7 inches​

Answer 1

The expression for area of triangle is 1/2x² + 3x.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 1/2 × base × height

and, length is 6 inches greater than the height.

let the height of the triangle is x

length of triangle = x + 6

So, The Area of triangle

= 1/2 x base x height

= 1/2(x)(x+ 6)

= 1/2x² + 3x

Hence, the expression for area of triangle is 1/2x² + 3x.

Learn more about Algebra here:

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