equation/solution of word problem

Tutor: None Selected Time limit: 1 Day

Suppose the base and height of a triangle sum to 12, and the area of the triangle is 16 square cm. What are the dimensions (base and height) of the triangle?

May 21st, 2015

b= base

h= height

we have:

1.  b + h = 12

2. b*h/2=16

substitute 1 in 2:




solve for b:

b= 6+-sqrt(36-32)=6+-2

thus we have 2 solutions for b:

b1 = 8 , b2 = 4

accordingly we have 2 solutions for h

h1=4, h2 = 8

So we have 2 solutions: one with a base of 8 and height of 4 the other one is a base of 4 and height of 8.

Both solutions obey the requirements.

May 21st, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
May 21st, 2015
May 21st, 2015
Dec 4th, 2016
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer