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Q.1. What is the name given to the longest side of a right-angled triangle?
Hypotenuse.
Q.2. Can we prove Pythagoras theorem for an acute angled triangle or obtuse angled triangle?
No.
Q.3. What is the name of the triplet forming the sides of a right-angled triangle?
Pythagorean triplet.
Q.4. Name three sides of a right angled triangle.
Base, perpendicular, hypotenuse.
Q.5. Who was the founder of Pythagoras theorem?
Famous greekphilosopher, Phythagoras.
Q.6. What is Pythagoras theorem?
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Q.7. If AC is the hypotenuse of a right-angled triangle ABC, then which angle will be a right angle?
Angle B.
Q.8. Write the converse of the Pythagoras theorem.
In a triangle, if a square of the longest side is equal to the sum of the squares of other two sides, then the angle opposite to the longest side is a right angle.
Q.9. Which of the following are Pythagorean triplets ?
(a) (3, 4, 6)
(b) (5, 12, 13)
(c) (6, 8, 10)
(b), (c)
Q.10. ABC is an Isosceles triangle with AC = BC. If AB2 = 2AC2 then ABC is a right triangle and ∠B = 90°.
No, ∠C = 90°.
Q.11. Is Pythagoras theorem applicable for an equilateral triangle?
No.
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