a triangle has an area of 75 square centimeters. if the base and height have equal length what is this length? round to the nearest tenth if necessary.

Question

anonymous · Answer

The equation for the area of a triangle is $$A = 1/2 bh$$ So set up that equation with the values you are given such that $$75=1/2 (2b)$$ Since both base and height are equal you can simplify b*h to 2b or 2h and then just solve for the variable.

anonymous · Answer

Area=(1/2)*base*height
base=length, so Area= (1/2)*length*length = 75 cm^2
solve for length
length*length=2*75 cm^2
so length=sqrt(150 cm^2)

bakonloverk · Answer

im still confused

anonymous · Answer

no, it isn't 2b, it is b^2 or l^2

anonymous · Answer

^what he said, careless mistake :p sorry

bakonloverk · Answer

how do i set up the problem?

anonymous · Answer

Area=(1/2)*base*height
base=length, so Area= (1/2)*length*length = 75 cm^2
solve for length
length*length=2*75 cm^2
so length=sqrt(150 cm^2)
length = 150^(1/2) cm

anonymous · Answer

Use the information you are given and plug it into the equation for a triangle$$A = \frac{ 1 }{ 2 } base * height$$and since the base and height are equal you can simplify it to $$75 = \frac{ 1 }{ 2 } * x^2$$ and solve for x.

bakonloverk · Answer

never mind i got the answer