Anonymous

The Height Of A Triangle Is Four Times The Length Of The Base. Can You Find The Base And Height Of The Triangle If The Area Is 18 Square Inches?

2 Answers

Katie Harry Profile
Katie Harry answered
To make this problem easier to solve lets simplify the problem by
breaking it down into parts. Firstly lets list down the points given in
the question:

We signify the length of the triangle's base by 'B'

So,

Base=B

Height= 4 times the base

OR

Height= 4 B

The formula of the area of the triangle is:

Area= 1/2 * Base * Height

The area of the triangle is given so now we would compute in the values in the area formula to find the height and the base:

18=1/2*B*4B

18=1/2*4(B^2)

Now we would keep B to one side of the equation and shift all the other to the other side. Hence,

18/(1/2)=4B^2

36=4B^2

36/4=B^2

9=B^2

Therefore B=3

We now have the length of the Base and we would use the equation we
made for the length above to find out the value of the length. Hence,

L=4B

L=4(3)

L=12

Summing up we have obtained the answers:

Base= 3 and Length=12

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Anonymous