Question

Vhich triangle's unknown side length measures 7 units?

Answer 1

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 $\sqrt{74}$.

B) A right triangle with a side length of $\sqrt{18}$ and hypotenuse with length 5.

C) A right triangle with a side length of $\sqrt{6}$and hypotenuse with length $\sqrt{43}$.

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 = $\sqrt{74}$

Then,

        $\sqrt{74}^{2}$ = 5²+ adjacent²

         adjacent² = 74 - 25 = 49

         adjacent =$\sqrt{49}$

         adjacent = 7

Thus, the correct answer is option A.