Is a triangle that has sides which measure 8, 15, and 17 a right triangle? Justify your answer, ie,
yes. check that 8^2+15^2 = 17^2
Ya by Pythagoras therom
H²=P²+B²
H=17,P=15,B=8
Therefore 17²=15²+8²
289=225+64
289=289
Hence it is a right trianhle
To determine if a triangle is a right triangle, we need to check if it satisfies the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a triangle with side lengths measuring 8, 15, and 17. Let's calculate:
8^2 + 15^2 = 64 + 225 = 289
17^2 = 289
Since the sum of the squares of the two shorter sides (8 and 15) is equal to the square of the longest side (17), we can conclude that this triangle is indeed a right triangle. The side lengths 8, 15, and 17 satisfy the Pythagorean theorem, confirming that the triangle has a right angle.