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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 :)​

Respuesta :

wegnerkolmp2741o

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

[tex]\\ \rm\Rrightarrow A=\dfrac{1}{2}bh[/tex]

[tex]\\ \rm\Rrightarrow bh=2A[/tex]

[tex]\\ \rm\Rrightarrow h=\dfrac{2A}{b}[/tex]

Now

  • A=18in^2
  • b=9in

[tex]\\ \rm\Rrightarrow h=\dfrac{2(18)}{9}[/tex]

[tex]\\ \rm\Rrightarrow h=\dfrac{36}{9}[/tex]

[tex]\\ \rm\Rrightarrow h=4[/tex]

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