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 len…

Question

asked Mar 2, 2021 97.4k views

2 Answers

Satyajit Das · Answer 1 · 2021-03-09T04:29:38+0000

Answer:

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.