I have the problem:
A triangle has a base of 3.6 cm and an area of 22.32 cm squared. What is the height of this triangle. The teacher gave us the answer key and I know the answer is 12.4 but I don't know how they came to that answer. I can't figure out how you are supposed to solve it. Thanks...
To find the height of a triangle, you can use the formula for the area of a triangle:
Area = (base * height) / 2
In this case, you have the base and the area, so you can rearrange the formula to solve for the height:
height = (2 * Area) / base
Let's substitute the given values into the formula:
height = (2 * 22.32 cm²) / 3.6 cm
height = 44.64 cm² / 3.6 cm
height = 12.4 cm
Therefore, the height of the triangle is 12.4 cm.
To find the height of a triangle, you can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, we are given the base (3.6 cm) and the area (22.32 cm²), and we need to find the height.
Let's start by rearranging the formula to solve for the height:
height = (2 * Area) / base
Now, substitute the given values into the formula:
height = (2 * 22.32 cm²) / 3.6 cm
Simplify:
height = 44.64 cm² / 3.6 cm
height ≈ 12.4 cm
So, the height of the triangle is approximately 12.4 cm.
Area of a triangle = 1/2 * base * height
Substitute what you know, then solve for what you don't know.
Area = 22.32
base = 3.6
Therefore:
22.32 = (0.5)(3.6)(h)
22.32 = (1.8)(h)
12.4 = h
I hope this helps.