Which of the following sets of triangles could be the lenghts of the sides of a right-angled triangle?

3 cm, 4 cm, 6 cm

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9 cm, 16 cm, 26 cm

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1.5 cm, 3.6 cm, 3.9 cm

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7 cm, 24 cm, 26 cm

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Solution

The correct option is B 1.5 cm, 3.6 cm, 3.9 cm
If the sides of a triangle obey pythagores rule then triangle is right angled triangle.
Here, $(1.5)^{2}$ + $(3.6)^{2}$ = 2.25 + 12.96 = 15.21 cm
and $(3.9)^{2}$ = 15.21 cm
$∴$ $(1.5)^{2}$ + $(3.6)^{2}$ = $(3.9)^{2}$

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Question 20
Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?
a) 3 cm, 4 cm, 6 cm
b) 9 cm, 16 cm, 26 cm
c) 1.5 cm, 3.6 cm, 3.9 cm
d) 7 cm, 24 cm, 26 cm

Q. The lengths of the sides of triangles are given below. Which of them are right-angled?

(i) a = 15 cm, b = 20 cm and c = 25 cm
(ii) a = 9 cm, b = 12 cm and c = 16 cm
(iii) a = 10 cm, b = 24 cm and c = 26 cm

The hypotenuse of a right angled triangle is 25 cm. One of its leg is 7 cm. What is the length of the other side ?

What is the area of a right angled triangle if its sides are 6 cm,8 cm and 10 cm?

The side opposite to acute angles of a right angled triangle are 7 cm and 24 cm, the side opposite to right angle is

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Which of the following sets of triangles could be the lenghts of the sides of a right-angled triangle?

The correct option is B 1.5 cm, 3.6 cm, 3.9 cmIf the sides of a triangle obey pythagores rule then triangle is right angled triangle.Here,(1.5)2+ (3.6)2 = 2.25 + 12.96 = 15.21 cmand (3.9)2 = 15.21 cm∴ (1.5)2 + (3.6)2 = (3.9)2

The correct option is B 1.5 cm, 3.6 cm, 3.9 cm
If the sides of a triangle obey pythagores rule then triangle is right angled triangle.
Here, $(1.5)^{2}$ + $(3.6)^{2}$ = 2.25 + 12.96 = 15.21 cm
and $(3.9)^{2}$ = 15.21 cm
$∴$ $(1.5)^{2}$ + $(3.6)^{2}$ = $(3.9)^{2}$