SOLUTION: The base of a triangle is 5 times greater than the height. find the height and lenght. I don't know where to start. Help!!!!

Question 184359: The base of a triangle is 5 times greater than the height. find the height and lenght. I don't know where to start. Help!!!!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let the height be h. Then the base must be 5h.

That's all the farther you can go with this one without some additional information. I suspect you were given the area of the triangle and you just failed to share that. If that is the case, you can proceed thus:

The area of a triangle is given by:

Where h is the height and b is the base. But you know that b = 5h, so you can write:

After rationalizing the denominator:

And the base measure would be 5 times that or:

All you need to do, if I guessed correctly and you do have the value of the triangle's area, is to substitute that value into the above expressions for the height and base and then do the indicated arithmetic.

John

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