Question

The area of a triangle is 80 in.2. the ratio of the length of its base to its height is 5 : 2. what are the base and height of the triangle? enter your answers in the boxes below.

Answer 1

length is 20 base is 8

Answer 2

Let the length of base be 5x and length of height be 2x .

Now we use the formula of area of the triangle , which is

`Area = (1)/(2) base* height`

Now we substitute the given values of base and height and the value of given area, we will get

`80 = (1)/(2)*5x*2x`

Multiply both sides by 2,

`160 = 10x^2`

Divide both sides by 10,

`image`

Taking square root to both sides

`x = 4`

So base is

`= 5*4 = 20 in`

And the height is

`= 2*4 = 8 in`