SOLUTION: Help me solve this problem please: The height of a triangle is 4 cm more than twice the length of the base. The area of the triangle is 35 cm(squared). Find the height of the tria

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Question 916909: Help me solve this problem please:
The height of a triangle is 4 cm more than twice the length of the base. The area of the triangle is 35 cm(squared). Find the height of the triangle.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The height of a triangle is k cm more than m times the length of the base. The area of the triangle is A cm(squared). Find the height of the triangle.

Area formula:
A, area
b, base
h, height
Description:


STEPS FOR SOLUTION IN SYMBOLIC FORM


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You can continue purely in symbolic form or you could substitute the given values now.




Two solutions to the equation.
makes no meaningful sense.
.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Help me solve this problem please:
The height of a triangle is 4 cm more than twice the length of the base. The area of the triangle is 35 cm(squared). Find the height of the triangle.


Let height be H

Then base-length = 

Since area = 35, then we can say that: 



} ----- Cross-multiplying



(H - 14)(H + 10) = 0

H, or height =  cm               OR               (ignore) 

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