SOLUTION: determine whether the triangle whose sides are of length 15cm, 20cm and 25cm is a right angled triangle?
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Question 698339: determine whether the triangle whose sides are of length 15cm, 20cm and 25cm is a right angled triangle?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!
We can use the Pythagorean Theorem to find our answer.
where c is the hypotenuse of the triangle.
If this relation is not true, then the triangle can not be a right triangle.
Is this equation true?
It's true!
Thus, the given triangle is a right triangle, and does indeed contain a right angle.
I knew the answer before I did the math, using a secret about special triangles.
This triangle is of the form 3:4:5, which is a Pythagorean Triple.
ANY triangle with sides in the ratio 3:4:5 is a right triangle.
Another popular Pythagorean Triple is 5:12:13
I hope this helps! Keep practicing! :)
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