Question

Which triangle’s unknown side length measures 7 units?

A right triangle with a side length of 5 and hypotenuse with length StartRoot 74 EndRoot.

A right triangle with a side length of StartRoot 18 EndRoot and hypotenuse with length 5.

A right triangle with a side length of StartRoot 6 EndRoot and hypotenuse with length StartRoot 43 EndRoot.

Answer 1

Answer: A

Explanation:

edge 2023

Answer 2

A (A right triangle with a side length of 5 and hypotenuse with length
`√(74)`)

Explanation:

In a right triangle, the length of the sides satisfies the Pythagoras Theorem which is stated Mathematically below:

`Hypotenuse^2=Opposite^2+Adjacent^2`

Option A

Length = 5

Hypotenuse =
`√(74)`

`(√(74))^2=5^2+Adjacent^2\\Adjacent^2=√(74)^2-5^2=74-25=49\\Adjacent=√(49)=7 \: Units`

All other options do not satisfy the Pythagoras Theorem.