kikisavage32
Answered

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9. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?

Sagot :

Answer:

24yards

Step-by-step explanation:

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]

Step-by-step explanation:

The formula for a triangle's area is:

[tex]a= \frac{1}{2} bh[/tex]

We know the area is 36 square yards and the base is 3 yards.

[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]

Substitute the values into the formula.

[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]

Divide by 1/2 or multiply both sides by 2.

[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]

[tex]72 \ yd^2= (3 \ yd)h[/tex]

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]

[tex]24 \ yd =h[/tex]

The height of the triangle is 24 yards.

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