emily7379
emily7379 emily7379
  • 21-04-2020
  • Mathematics
contestada

The area of the triangle is 156 inches squared. The base is 24 inches. What is the height of the triangle?

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Sarah06109
Sarah06109 Sarah06109
  • 21-04-2020

Answer:

13 inches

Step-by-step explanation:

The area of a triangle can be found using:

[tex]a=\frac{bh}{2}[/tex]

We know the area is 156, and the base is 24, so we can substitute them in

[tex]156=\frac{24h}{2}[/tex]

Multiply both sides by 2 to eliminate the denominator

[tex]2(156)=(\frac{24h}{2})2[/tex]

312=24h

Since we want to find h, divide both sides by 24 to isolate h

312/24=24h/24

h=13

So, the height is 13 inches

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