Area of a right triangle. I need someone to explain this?

Question

The height of this triangle is 14 units, and the area is 77 unit spuared. How long is the base of the triangle?

Answer 1

to find the area of a triangle you multiplie the hight times base then you divide it by two.

for your problem you divide 77 by 2 to get 38.5 then you subtract 14 to get 24.5 and that is the answer.

24.5 is the base

Answer 2

Area of a triangle = 1/2 base x height

written:  A = 1/2bh

For your problem:

A = 77

h = 14

b = ?

Plug the values into the formula:

77 = 1/2 b x 14

To Solve:

divide both sides by 14

77/14 = 1/2 b x 14/14

5.5 = 1/2 b

multiply both sides by 2:

5.5 x 2 = 1/2 b x 2

11 = b

the base is 11 units long.

Answer 3

Area of triangle is bh/2. If you take half the height, you can work out the base.

A = b×h/2

77 = b×(14/2) = b×7, so b = 77/7 = 11

Answer: 11 units.