Question

If the length of two sides of a triangle are 7 and 10 the length of the third side may be

A. 1
B.3
C.2
D.4
explain

Answer 1

D. 4

Explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!