SOLUTION: what is the height of a triangle, where the area is 56 inches squared and a base of 14 inches?

Question 359293: what is the height of a triangle, where the area is 56 inches squared and a base of 14 inches?
Answer by geforcewong(2) (Show Source): You can put this solution on YOUR website!
The Area of a triangle is one-half the base times the height of the triangle.
So A=(1/2)bh, where A= Area, b = base, h = height.
Since you are given the Area (A =56 inches^2)
and you are given the base (b = 14 inches),

You can find the height (h) by plugging the given Area and base into the equation:

A = (1/2)bh
So,

Plug in A= 56 inches^2 and b = 14 inches:
56 inches^2 = (1/2)(14 inches)h

Simplified:
56 inches^2 = (7 inches)h

Dividing both sides by 7 inches:
56 inches^2 / 7 inches = h

Simplifying units of measurement (inches^2 divided by inches = inches):
h = (56/7) inches

Simplified:
h = 8 inches

Check your work: A = (1/2)(14)(8) = (7)(8) = 56 = Area that was given.

Therefore, when the area of a triangle is 56 inches squared and has a base of 14 inches, the height will be 8 inches.
RELATED QUESTIONS
the area of a triangle is 48 inches squared and its base is 6 inches. What is the... (answered by eshomali)

What is the area of 18 inches height and 10 inches base in a... (answered by Gogonati)

A triangle has an area of 72in squared. It has a height of 9 inches, what is the... (answered by doukungfoo)

The base of a triangle is 14 inches more than 4 times the height. If the area is 60... (answered by josgarithmetic,MathTherapy)

given area of a triangle is 36 inches squared, base 3x inches, height 2x+2 inches, Prove: (answered by ankor@dixie-net.com)

What is the area of a triangle with the base of 20 inches and the height of 5... (answered by stanbon)

What is the height of a triangle with a base of 20 inches and an area of 50 square... (answered by toytoy42)

the area of a triangle is 140 inches squared. If the base and height are both doubled,... (answered by roseo)

what is the area in square inches of a triangle with an 8 inch base and 6 inches in... (answered by checkley77)