Maths-
General
Easy
Question
Is the triangle whose sides are 17 cm, 15 cm and 8 cm long right-angled?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: Hence, the given triangle is a right-angled triangle with 17 cm as hypotenuse, 15 cm and 8 cm as perpendicular and base.
In a right-angled triangle, the longest length is of the hypotenuse. So by seeing all the values we can conclude that 17 cm can be the hypotenuse of the given right-angled triangle and the other two can be the perpendicular and base
We can check it by applying Pythagoras' theorem
Hypotenuse2= Perpendicular2 + Base2
(17)2 = (15)2 + (8)2
289 = 225 + 64
289 = 289
So, LHS = RHS
Final Answer:
Hence, the given triangle is a right-angled triangle with 17 cm as hypotenuse, 15 cm and 8 cm as perpendicular and base.
Hypotenuse2= Perpendicular2 + Base2
(17)2 = (15)2 + (8)2
289 = 225 + 64
289 = 289
So, LHS = RHS
Final Answer:
Hence, the given triangle is a right-angled triangle with 17 cm as hypotenuse, 15 cm and 8 cm as perpendicular and base.
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