SOLUTION: This was a question on my cct part 2 and i did not understand it at all. Find the length of the other two sides of a right angle triangle if the hypotenuse is 15cm and one side

Question 1085090: This was a question on my cct part 2 and i did not understand it at all.
Find the length of the other two sides of a right angle triangle if the hypotenuse is 15cm and one side is 3cm longer than the other side.
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
h, hypotenuse (h=15)
x, the shorter side

Solve for x.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

This was a question on my cct part 2 and i did not understand it at all.
Find the length of the other two sides of a right angle triangle if the hypotenuse is 15cm and one side is 3cm longer than the other side.

This triangle represents a 3-4-5 Pythag. triple, TIMES 3.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

Let x be the shorter leg of the triangle, in centimeters. Then the length of the longer leg is (x+3) cm, according to the condition. The Pythagorean theorem says = , or = 225, = 0, = 0. Factor left side: (x-9)*(x+12) = 0. The roots are x= 9 and x= -12. Ignore the negative root, since the length can not be negative. The only solution to the problem is x= 9 cm. Answer. The legs of the given right-angled triangle are 9 cm and 12 cm. It is the classic (3-4-5)-right-angled triangle.

To see more similar solved problems, look into the lesson
    - Solved problems on the perimeter and side lengths of a triangle
    - Solved problems on the perimeter and side lengths of a right-angled triangle
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Finding the perimeter and sides lengths of triangles, parallelograms, rectangles and polygons".

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