SOLUTION: If two sides of right triangle are 5x and 3x-1. And area of triangle is 60 cm2 then find the hypotenuse of the triangle.

Question 807423: If two sides of right triangle are 5x and 3x-1. And area of triangle is 60 cm2 then find the hypotenuse of the triangle.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
One of the sides serves as a base and the other side serves as a height.
Area is , where b is base, y is height.

using what was given.
b=5x and y=3x-1

FACTORABLE!

The positive x value has meaning here.

The triangle legs are and

Pythagorean Theorem gives

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Knowing the squares of the lowest few prime numbers is a good idea.
11^2=121; 13^2=169; for 17 obviously; 19^2=361.
You'll find that your common divisibility rules give you nothing for 289, so suspect some lower prime number as a possible factor.
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