SOLUTION: 1. The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 42 m2. Find the height of the triangle. 2.a2 � 3a = 28 3.(a &#8722

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Question 645496: 1. The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 42 m2. Find the height of the triangle.

2.a2 � 3a = 28

3.(a − 4)(a + 6) = −16

4. 5y(y + 6) = 4(y + 6)
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let represent the measure of the base of the triangle. Then the measure of the height must be . Since we know that the area of a triangle is the measure of the base times the measure of the height divided by 2, we can write:

Which is to say:

or

Solve the factorable quadratic for the positive root (discard the negative root because we are looking for a measure of length for which negative values are absurd). Once you have a value for , calculate

John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
1. The height of a triangle is more than twice the length of the base .
=>... ...=>.. =>..
The area of the triangle is .
Find the height of the triangle.

........replace with
...solve for

...or
....use quadratic formula to find

solution: we need only positive solution since the height cannot be negative

now find the length of the base

2.

solutions:

or

3.

solutions:

or

4.

...first multiply

solutions:

or