Two sides of a right angle triangle are 12 and 13. Which of the following could be length of the third side?I. 5II. 11III. $\sqrt313$
A)I only
B)II only
C)III only
D)I and III

Question

Quizplus · Accepted Answer

The relationship between the three sides a2 + b2 = c2 b2 = c2 -a2
(Third side )2 = 122 + 132 = 313
Also (Third side )2 = 132 -122 =25
Hence the third side may be 5 or ?313 i.e I and III
Key takeaway: A right triangle has one angle equal to 900 and its longest side is called the hypotenuse. The relationship between the three sides is expressed as a2 + b2 = c2

Two Sides of a Right Angle Triangle Are 12 and 13