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

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )