Question

The formula A = (1/2)bh represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle. 1. Solve this formula for b. 2. Show your work and explain each step.

Answer 1

Answer:

The value of the formula for b is $b=\frac{2A}{h}$.

Step-by-step explanation:

Consider the provided formula.

$A = \frac{1}{2}bh$

We need to solve the formula for b

Multiply both the sides by 2.

$2A =2\times \frac{1}{2}bh$

$2A =bh$

Now divide both the sides by h.

$\frac{2A}{h} =\frac{bh}{h}$

$\frac{2A}{h} =b$

$b=\frac{2A}{h}$

Hence, the value of the formula for b is $b=\frac{2A}{h}$.

Answer 2

The formula for b in the expression A = (1/2)bh is ; b = 2A/h

Given the triangle formula :

Area, A = (1/2)bh

Where, b = base ; h. = height

To solve for b in the formular   we make b the subject ;

A = (1/2)bh

We multiply botj sides by 2

2A = 2 × (1/2)bh

2A = bh

To isolate b, we divide both sides by h

2A / h = bh / h

2A/h = b

Hence, the formula for b is : b = 2A/h

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