Question

The base of a triangle is 4 less than three times the height. The area of the triangle is 38 square cm. A=b × h2 (3 points).

An expression for the base of the triangle.

a Equation for the area of the triangle:

The first step in solving for h:

Answer 1

Short answer please

Answer 2

To find an expression for the base of the triangle, we can start by letting the height of the triangle be represented by 'h'.

Given that the base is 4 less than three times the height, we can express the base as follows:

Base = 3h - 4

The equation for the area of the triangle is given as:

Area = (1/2) * base * height

Since the base is represented as (3h - 4) and the height is represented as 'h', the equation can be written as:

Area = (1/2) * (3h - 4) * h

To solve for h, we can set up the equation and solve for h:

38 = (1/2) * (3h - 4) * h

The first step in solving for h involves simplifying the equation by distributing (1/2) into (3h - 4):

38 = (3/2)h^2 - 2h

Now, let's solve the quadratic equation for h.

Answer 3

Expression for the base of the triangle: Base = 3h - 4

Equation for the area of the triangle: Area = (1/2) * (3h - 4) * h

First step in solving for h: Simplify the equation by distributing (1/2) into (3h - 4) and solve the resulting quadratic equation: 38 = (3/2)h^2 - 2h