Question

What is the

length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.

Answer 1

Answer: 5 m

Step-by-step explanation:

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.

Check answer: A = 1/2xbxh

A = 1/2 x 7 x 5

A = 1/2 x 35

A = 17.5 sq m

Answer 2

The length of the base of the triangle is 5m and the height is 7m.

Step-by-step explanation:

In this problem, we are given that the height of a triangle is 2m more than the base, and the area of the triangle is 17.5 m².

Let's represent the base as 'b', and the height as 'h'.

According to the given information, the height is 2m more than the base, so we can write h = b + 2.

The formula for the area of a triangle is 1/2 × base × height.

Substituting the given values, we have 17.5 = 1/2 × b × (b+2).

To solve for 'b', we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 35 = b × (b+2).

Expanding this equation, we get b² + 2b = 35.

This is a quadratic equation that can be solved by factoring or using the quadratic formula.

By factoring, we have (b+7)(b-5) = 0. So, b = -7 or b = 5.

Since we can't have a negative base length, we take b = 5.

Therefore, the length of the base is 5m and the height is 7m (b+2).

Therefore, the base is 5m and the height is 7m.