Question

A triangle has an area of 20 cm2. The height of the triangle is three cm longer than the base. Find the height and base of the triangle.

Answer 1

help!

Answer 2

@jim_thompson5910

Answer 3

What's the general formula for the area of a triangle?

Answer 4

A=hbb over
2

Answer 5

it should be

A = (b*h)/2

Answer 6

"The height of the triangle is three cm longer than the base"

So,

height = base + 3

h = b+3

Answer 7

A = (b*h)/2

A = (b*(b+3))/2

20 = (b*(b+3))/2

20*2 = b*(b+3)

40 = b*(b+3)

and I'll let you finish up

Answer 8

we dont know the base ?

Answer 9

you solve that equation to get the base

Answer 10

divide

Answer 11

40 = b*(b+3)

40 = b^2 + 3b

0 = b^2 + 3b - 40

b^2 + 3b - 40 = 0

Now factor and solve

Answer 12

ok

Answer 13

b= -8,5???

Answer 14

toss out the negative solution, you can't have a negative base

Answer 15

so b = 5 is the only practical solution

Answer 16

h = b+3

h = 5+3

h = 8

Answer 17

b = 5
h = 8

Answer 18

thanks

Answer 19

you're welcome