The lengths of the sides of a triangle are 9 40 41. state whether triangle is right angled triangle

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Question 8 Exercise 16

Answer:

Solution:

AB = 9 cm

CB = 40 cm

AC = 41 cm

The given triangle will be a right-angled triangle if the square of its largest side is equal to the sum of the squares on the other two sides.

According to Pythagoras Theorem,

$AC^2=BC^2+AB^2$

$41^2=40^2+9^2$

1681 = 1600 + 81

1681 = 1681

Hence, it is a right-angled triangle ABC.

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Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm

AB = 9 cmCB = 40 cm

AC = 41 cm

The given triangle will be a right-angled triangle if square of its largest side is equal to the sum of the squares on the other two sides.According to Pythagoras Theorem,

(AC)2 = (BC)2 + (AB)2
(41)2 = (40)2 + (9)2
1681 = 1600 + 81

1681 = 1681

Hence, it is a right-angled triangle ABC.

Concept: Right-angled Triangles and Pythagoras Property

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