Two sides of a scalene triangle measure 7 cm and 3 cm. What could be the measure of the third side?

9 cm

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10 cm

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11 cm

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12 cm

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Solution

The correct option is A 9 cm
Given, the lengths of two sides of a scalene triangle are 7 cm and 3 cm.
We know that the sum of two sides of a triangle is always greater than the third side.
So, the third side must be less than 10 cm(7 cm + 3 cm).
The length of the side that is less than 10 cm among the given options is 9 cm.
Hence, the length of the third side is 9 cm.

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Question 31

Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?

a) 4 cm
b) 3 cm
c) 5 cm
d) 32 m

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