check weather 9cm,5cm,7cm,are sides of right triangle
Answers
If the given lengths are the lengths of the sides of a right triangle, then these lengths will satisfy, i.e., make true, the equation of the Pythagorean Theorem which is:
a² + b² = c², where a and b are the lengths of the two shorter sides of the right triangle, and c is the length of the hypotenuse which is the longest side and the side opposite the right angle. Now, let a = BC = 24 cm, b = AC = 7 cm, and c = AB = 25 cm.
Now, substituting into the Pythagorean Theorem equation , we get:
a² + b² = c²
(24 cm)² + (7 cm)² = (25 cm)²
576 cm² + 49 cm² = 625 cm²
625 cm² = 625 cm²
We now see that the equation of the Pythagorean Theorem is satisfied by the given lengths, and, therefore, the 3 sides of lengths AB = 25cm, BC = 24 cm, and AC = 7 cm are the sides of a right triangle.
Answer:
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