Question

Find the length of the hypotenuse of a right triangle with legs 9.1 and 12.3. Round to the nearest tenth.

Answer 1

15.3

Explanation:

Using the pythagorean theorem: a²+b²=c² where a and b are legs of a right triangle, and c is the length of the hypotenuse, we can substitute in a=9.1 and b=12.3 to find:

⇒ 9.1²+12.3²=c²

Add 9.1² and 12.3²

⇒ 234.1=c²

Square root both sides (positive because lengths cannot be negative):

⇒ c≈15.300

And when you round to the nearest:

⇒ c≈15.3

Therefore the length of the hypotenuse is 15.3