SOLUTION: how many different triangles,if any, can be drawn with one 90 degree angle and side lengths of 5 cm. and 12 cm?

Question 739430: how many different triangles,if any, can be drawn with one 90 degree angle and side lengths of 5 cm. and 12 cm?
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
2 triangles
(1)
the legs can be 5 cm and 12 cm

The hypotenuse is 13 cm
(2)
The hypotenuse can be 12 cm and
one of the legs can be 5 cm

-----------------
The other choice with hypotenuse = 5 cm
and a leg = 12 cm is impossible. There is no
way to make a right angle with the other leg

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
one degree angle and
side lengths of and

A right isosceles triangle has a degree angles.
Another interesting right triangle is the 30-60-90 degree triangle. The ratio of this triangle's longest side to its shortest side is " to ." That is, the side is as long as the side.
One of the most famous is the "3, 4, 5 triangle."

However, the Pythagorean Theorem can help us to find third side if given side lengths of and

assume that is hypotenuse and is leg

.........this be solution

let�s assume that is leg and is leg

.....this solution
so, you can draw one triangle with one degree angle and
sides lengths of ,, and

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