Adjacent = 12
Explanation:
The shape is a right angled triangle
Using pythagoras' theorem:
Hypotenuse² = opposite² + adjacent²
hypotenuse is the longest side = 13
opposite is the vertical side or the side opposite the angle = 5
Adjacent is the base. it is not given in the question.
So we need to find it.
using the formula:
13² = 5² + adjacent²
169 = 25 + adjacent²
collect like terms:
169 - 25 = adjacent²
144 = adjacent²
square root both sides:
√144 = √( adjacent²)
12 = adjacent
Adjacent = 12
Hence, the value missing side is 12
