The lengths of sides of a triangle are $3 c m, 4 c m$ and $5 c m$ . Is the triangle a right angle? Give reason.

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Solution

Given, length of sides of a triangle are $3, 4$ and $5$ respectively.
Now, $(3)^{2} + (4)^{2} = 9 + 16 = 25 = (5)^{2}$
Hence, it is a right angled triangle as it follows Pythagoras theorem.

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Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

a) Obtuse-angled triangle
b) Acute angled triangle
c) Right angled triangle
d) An isosceles right triangle.

A triangle is having sides 3cm, 4cm, 5cm in length. The greatest angle of this triangle is ___ .

Is it possible to construct a triangle with lengths of its sides as given below? Give reason for your answer.

(i) 5 cm, 4 cm, 9 cm (ii) 8 cm, 7 cm, 4 cm

(iii) 10 cm, 5 cm, 6 cm (iv) 2.5 cm, 5 cm, 7 cm

(v) 3 cm, 4 cm, 8 cm

The triangle whose lengths of sides are 4 cm, 5 cm and 6 cm is a right-angled triangle.

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