SOLUTION: The base and height of a triangle total 14 cm and the area is 20 cm2. Find the dimensions of the triangle.

Algebra.Com
Question 1083172: The base and height of a triangle total 14 cm and the area is 20 cm2. Find the dimensions of the triangle.
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
b + h = 14,     (1)               ("The base and height of a triangle total 14 cm")
 = 20    (2)             "(the area is 20 cm2")

=====>

b + h = 14,
b*h   = 40.


From this point, you can find the solution mentally and momentarily.

There are two sets of solutions:

1)  b = 10, h =  4,   and
2)  b =  4, h = 10.

Notice that the question is formulated INCORRECTLY.

We can not find the dimensions of the triangle without additional info.

Based on the given info, we can only find the base and the height of the triangle.



RELATED QUESTIONS

The base and height of a triangle total 14 cm and the area is 20 cm2. Find the dimensions (answered by ikleyn)
What is the length of the base of a triangle with height 20 cm and area 150... (answered by kingme18)
A triangle has an area of 36 cm2 and a base of 9 cm. The height of the triangle is... (answered by algebrahouse.com)
The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the... (answered by jojo14344)
The base length of a right triangle is 4 cm more than its height. The area is 30 cm2.... (answered by josgarithmetic)
What is the area of a triangle with a base 22.8 cm2 and a height of 12... (answered by Cromlix)
Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20... (answered by lwsshak3)
A triangle has an area of 10 cm2. The height of the triangle is 4 cm longer than three... (answered by nicy12)
The area of a triangle is 20 square cm. The height is an odd prime number and is shorter... (answered by solver91311)