Question

the base of a triangle is 4 less than 3 times the height . the area of the triangle is 38suare cm. a+bxh/2
an expression for the base of the triangle _
equation for the area of the triangle_
first step in solving for h_
Answer
can you explain
Answered by GPT 3.5
To find an expression for the base of the triangle, let's denote the base as b and the height as h.

According to the given information, the base is 4 less than 3 times the height. So we can write the expression for the base as:

b = 3h - 4

The equation for the area of a triangle is given by the formula A = (1/2)bh, where A is the area, b is the base, and h is the height.

In this case, we are given that the area of the triangle is 38 square cm. So we can write the equation for the area as:

38 = (1/2)(b)(h)

The first step in solving for h would be to substitute the expression for the base (3h - 4) into the area equation:

38 = (1/2)(3h - 4)(h)
Answered by GPT 3.5
Sure! Let's break down the problem step by step.

1. We are given that the base of the triangle is 4 less than 3 times the height. So, we can represent the base as b and the height as h.
The expression for the base can be written as:
b = 3h - 4

2. The formula for finding the area of a triangle is A = (1/2)bh, where A is the area, b is the base, and h is the height.
We are given that the area of the triangle is 38 square cm. So, we can write the equation for the area as:
38 = (1/2)bh

3. To solve for the height, we need to eliminate the base from the equation. We can substitute the expression for the base from step 1 into the area equation from step 2:
38 = (1/2)(3h - 4)(h)

Now we have an equation with one variable, h, which we can solve to find the height of the triangle.