Question

write the formula for the area of a triangle, A = 1/2bh in terms of h. Find the height of a triangle when A = 18 in.² and b = 9 in. Please give explanation thank you :)​

Answer 1

Answer:

2A/b = h

4 inches = h

Step-by-step explanation:

A = 1/2bh in terms of h

Multiply each side by 2

2A = bh

Divide by b

2A/b = h

Let A = 18 and b = 9

2*18/9 = h

4 = h

Answer 2

$\\ \rm\Rrightarrow A=\dfrac{1}{2}bh$

$\\ \rm\Rrightarrow bh=2A$

$\\ \rm\Rrightarrow h=\dfrac{2A}{b}$

Now

• A=18in^2
• b=9in

$\\ \rm\Rrightarrow h=\dfrac{2(18)}{9}$

$\\ \rm\Rrightarrow h=\dfrac{36}{9}$

$\\ \rm\Rrightarrow h=4$