Question

the height of a triangle is 2 cm more than the base. if the height is increased by 1 cm while the base remains the same, the new area becomes 14 cm². (a) find the base and height of the original triangle. (b) find the area of the original triangle. part 1 of 3 the original triangle had a base of 4 cm. part 2 of 3 the original triangle had a height of 6 cm. part 3 of 3 the area of the original triangle was cm²

Explanation:

Step1: Recall the formula for the area of a triangle

The area of a triangle is given by \(A=\frac{1}{2}\times base\times height\).

Step2: Substitute the values of base and height

We know the base \(b = 4\) cm and height \(h=6\) cm.
Using the formula \(A=\frac{1}{2}\times b\times h\), we substitute \(b = 4\) and \(h = 6\).
So, \(A=\frac{1}{2}\times4\times6\).
First, calculate \(4\times6 = 24\).
Then, \(\frac{1}{2}\times24=12\).

Answer:

12