The area of a triangle is 80in^2. the ratio of the length of its base to its height is 5: 2. what are the base and height of the triangle? show work

base = 20 inches , height = 8 inches

Step-by-step explanation:

The formula fro calculating the area of  a triangle , given the base and the height is given as ;

A = bh

The ratio of its base to the height is given as 5: 2 , this means that

2b = 5h , that is

b =

Substitute this into the formula for finding area , that is

80 = X X h

80 =

Therefore :

= 80 x 4

= 320

= 320 / 5

= 64

h = 8 inches

Substitute h = 8 into b = , then

b = 20 inches

Therefore , the base of the triangle is 20 inches and the height is 8 inches

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

126 maybe. sorry