SOLUTION: 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base.
Algebra.Com
Question 954279: 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base.
----------------------
Area = (1/2)(base)(altitude)
----------
56 = (1/2)(x + 6)(x)
----
112 = x^2 + 6x
---
x^2 + 6x - 112 = 0
Factor:
(x-8)(x+ 14) = 0
----
altitude = x = 8 cm
base = (x+6) = 14 cm
----------------
Cheers,
Stan H.
==============
RELATED QUESTIONS
The base of a triangle is 7 cm longer than its altitude. The area of the triangle is
30... (answered by nerdybill)
the altitude of a triangle is 6 cm greater than its base. If its area is 108 cm^ find... (answered by josgarithmetic)
The Area of a triangle is 70 square centimeters.
Find the length of the base and the... (answered by josgarithmetic)
The altitude of a triangle is 4 cm longer than it's base. If the area of the triangle is... (answered by Fombitz)
The base of a triangle is 6 cm longer than its altitude. If the area of the triangle is... (answered by nerdybill)
the base of a certain triangle is 5 cm longer than the altitude, and the area is 42cm... (answered by josgarithmetic)
The base of a triangle is 4 dm longer than the altitude, and its area is 16 dm^2. Find... (answered by josgarithmetic,MathTherapy)
The area of a triangle is 70 square centimeters(cm^2). Find the length of the base and... (answered by lwsshak3)
an altitude of a triangle is 2 cm longer than its base. what are the dimensions of the... (answered by nerdybill)