determine given sides of triangle (8,15 17) are the sides of right angled triangle
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Step-by-step explanation:
10th
Maths
Triangles
Pythagoras Theorem and its Converse
Do the sides, 15, 17 and 8 ...
MATHS
Do the sides, 15,17 and 8 form a right triangle? If so, which side is the hypotenuse?
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ANSWER
Converse of Pythagorean Theorem states that:
In a triangle, if the square of one side is equal to the sum of the squares of the other two sides then the angle opposite to the first side is a right angle.
So, 17
2
=8
2
+15
2
289=64+225
289=289
So, the sides will form a right angled triangle.
Hypotenuse is the longest side
Therefore, 17 is the hypotenuse
Answer: Yeah, they are the sides of a right triangle.
Step-by-step explanation:
8² = 64 , 15² = 225 , 17² = 289
ie, 64 + 225 = 289
ie, 8² + 15² = 17²
Hence, pythagoras theorm is verified.
Hence, they form a right triangle.
HOPE THIS HELPS......