Answer:the unknown leg is 7.5
Step-by-step explanation:
The given right angle triangle has a hypotenuse, a known leg and an unknown leg.
From the triangle,
The hypotenuse is 9
The known leg is 5
The unknown leg is x
The formula for Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Hypotenuse^2 = known leg^2 + unknown leg^2
Therefore
9^2 = 5^2 + x^2
81 = 25 + x^2
x^2 = 81 - 25 = 56
x = √56 = 7.5
