The question is incomplete however the complete question is as follows:
Which triangle’s unknown side length measures 7 units?
A) A right triangle with a side length of 5 and hypotenuse with length [tex]\sqrt{74}[/tex].
B) A right triangle with a side length of [tex]\sqrt{18}[/tex] and hypotenuse with length 5.
C) A right triangle with a side length of [tex]\sqrt{6}[/tex]and hypotenuse with length [tex]\sqrt{43}[/tex].
Answer:
Option A
Step-by-step explanation:
Pythagoras theorem can be satisfied by the length of the sides if the triangle is right angle triangle. The mathematical representation is as follows:
Hypotenuse²= opposite² + adjacent²
According to the option :
Length of side = 5
Hypotenuse = [tex]\sqrt{74}[/tex]
Then,
[tex]\sqrt{74}^{2}[/tex] = 5²+ adjacent²
adjacent² = 74 - 25 = 49
adjacent =[tex]\sqrt{49}[/tex]
adjacent = 7
Thus, the correct answer is option A.
