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
`√(74)`.

B) A right triangle with a side length of
`√(18)` and hypotenuse with length 5.

C) A right triangle with a side length of
`√(6)`and hypotenuse with length
`√(43)`.

Answer:

Option A

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 =
`√(74)`

Then,

`√(74)^(2)` = 5²+ adjacent²

adjacent² = 74 - 25 = 49

adjacent =
`√(49)`

adjacent = 7

Thus, the correct answer is option A.