You are building a triangular patio from a blueprint with base 3 in. and height 9 in. The base of the patio is going to be 6 ft. What will be the height of the patio, h?
plzz someone help I have no clue !!!
from the blueprint ... the height is three times the base
To find the height of the patio, h, we need to use the given information about the triangular patio.
We know that the triangular patio has a base of 3 inches and a height of 9 inches. However, the base of the patio needs to be 6 feet, so we need to convert it to inches since the height is also given in inches.
1 foot = 12 inches
Therefore, the base of the patio will be 6 feet * 12 inches/foot = 72 inches.
Now that we know the base of the patio is 72 inches and the height is 9 inches, we can use the formula for the area of a triangle:
Area = (base * height) / 2
Plugging in the values, we get:
Area = (72 inches * h) / 2
Simplifying further, we get:
Area = 36h
Given that the base of the patio is 72 inches, we can set up the equation:
36h = 72
To solve for h, we divide both sides of the equation by 36:
h = 72 / 36
Simplifying further, we get:
h = 2
Therefore, the height of the patio, h, will be 2 inches.