Math

QuestionFind the base bb of a triangle when the area A=100A=100 and height h=20h=20 using A=12bhA=\frac{1}{2} b h.

Studdy Solution

STEP 1

Assumptions1. The area of the triangle is100 square units. . The height of the triangle is20 units.
3. The formula for the area of a triangle is A=1bhA=\frac{1}{} b h.

STEP 2

We are given the area and the height of the triangle, and we need to find the base. We can rearrange the formula for the area of a triangle to solve for bb.
b=2Ahb = \frac{2A}{h}

STEP 3

Now, plug in the given values for the area and the height to calculate the base.
b=2×10020b = \frac{2 \times100}{20}

STEP 4

Calculate the base length.
b=20020=10b = \frac{200}{20} =10The length of the base of the triangle is10 units.

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