Question

Check whether 2.5cm,6.5cm,6cm can be the sides of a right triangle? Give reasons for your answer
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Answer 1

Answer:

yes this sides can be sides of right triangle

Step-by-step explanation:

by Pythagoras theorem

65^2=2.5^2+6^2

42.25=6.25+36

42.25=42.25

Answer 2

As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

hypotenuse² = base² + perpendicular²

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 6.5 cm

Verifying the Pythagoras theorem,

6.5²= 6²+ 2.5²

42.25=36+ 6.25

42.25=42.25

Hence it is a right-angled triangle

The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.

Yes,a triangle can be made by these sides

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