Area of a right triangle?

Question

The height of this triangle is 14 units, and the area is 105 unit squared. How long is the base of the triangle?

Answer 1

Area of a triangle = 1/2 base x height

shortened to:   A = 1/2bh

The height is measured at right angles to the base (a right angled triangle makes this easy).

A = 105

h = 14

b = ?

now plug in the values:

105 = 1/2 b x 14

solve:

divide both sides by 14:

105/14 = 1/2b x 14/14

7.5 = 1/2b

multiply both sides by 2:

7.5 x 2 = 1/2b x 2

15 = b

The base is 15 units long

Answer 2

Given:area=105

           height=14 units

area of triangle=1/2*base*height

therefore,105=1/2*b*14

                     b=105/7

                        =15

therefore base=15units

Answer 3

well, area = 1/2 x base x height

so base = 105/0.5 / 14

= 15 units