Question

The leg of a right triangle is 3 units, and the hypotenuse is 6 units. What is the length, in units, of the other leg of the triangle?

A) 3 units

B) 9 units

C) 5 units

D) 27 units

Answer 1

To find the length of the other leg of the triangle, we can use the Pythagorean theorem. Substitute the given values into the theorem to find the length of the other leg. The length of the other leg is approximately 5 units.

Step-by-step explanation:

The student is given the length of one leg of a right triangle (3 units) and the length of the hypotenuse (6 units). To find the length of the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem:

32 + b2 = 62

9 + b2 = 36

b2 = 36 - 9

b2 = 27

b = √27

b ≈ 5 units