Question 12

The $Δ A B C$ formed by AB = 5 cm, BC = 8 cm and AC = 4 cm is

a) An isosceles triangle only
b) A scalene triangle only
c) An isosceles right triangle
d) Scalene as well as a right triangle

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Solution

i) It's not isosceles triangle as all the sides are of different measure.
ii) It's not right triangle since it does not follow Pythagoras theorem.

$4^{2} + 5^{2} = 8^{2} \Rightarrow 16 + 25 = 64 \Rightarrow 41 \neq 64$
(not satisfied)
Hence, it is a scalene triangle as all the sides are of different measure.

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