A right triangle has leg lengths of 23 inches and 36 inches. What is the perimeter, in inches, of this triangle?
Answer:
D
Explanation
The correct answer is Choice D.
Use Pythagorean theorem to find the length of the hypotenuse of the given right-angle triangle then the perimeter of the triangle.
Choice A is incorrect and may result from finding $\sqrt{b^2-a^2}$ instead of the perimeter of the triangle.
Choice B is incorrect and may result from finding $\sqrt{2c^2}$ instead of the perimeter of the triangle.
Choice C is incorrect and may result from mistaking that 36 is the hypotenuse of the triangle.
✨ Expert's Tip ✨
$3,4,5$; $5,12,13$; and $7,24,25$ are among the more popular Pythagorean triples, i.e., these numbers satisfy Pythagorean theorem and are used often.