SOLUTION: Write a quadratic equation and solve. The altitude of a triangle is 3cm less than its base. The area of the triangle is 90cm^2. Find the base and altitude.

Question 971394: Write a quadratic equation and solve. The altitude of a triangle is 3cm less than its base. The area of the triangle is 90cm^2. Find the base and altitude.
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
B=base; H=height (altitude)=B-3cm; A=area=90cm^2
.
Substitute for H.
Multiply each side by 2.
Subtract 180cm^2 from each side.

ANSWER 1: The base is 15 centimeters.

ANSWER 2: The height (altitude) is 12 centimeters.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
a, altitude
b, base
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Going directly to general solution of quadratic equation:

, from the PLUS form

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