Question

question 3 of 10 what is the length of leg s of the triangle below? 90° 45° 6 √72 45° a. 3 b. 6 c. √6 d. 36 e. 3.2 f. √72

Explanation:

Step1: Identify triangle type

It's a 45-45-90 right triangle with equal legs.

Step2: Apply 45-45-90 property

Legs are equal; given one leg is 6, so s=6.

Step3: Verify with Pythagorean theorem

$s^2 + 6^2 = (\sqrt{72})^2$ → $s^2 + 36 = 72$ → $s^2=36$ → $s=6$.

Answer:

B. 6