Question
The hypotenuse of a right triangle measures 12 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
GPT 3.5
To find the measure 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. In this case, we have:
c^2 = a^2 + b^2
where c is the length of the hypotenuse (12 cm), and a and b are the lengths of the two legs of the triangle.
Substituting the given values, we get:
12^2 = 10^2 + b^2
144 = 100 + b^2
44 = b^2
b = √44
b ≈ 6.6
Therefore, the measure of the other leg is approximately 6.6 cm.
c^2 = a^2 + b^2
where c is the length of the hypotenuse (12 cm), and a and b are the lengths of the two legs of the triangle.
Substituting the given values, we get:
12^2 = 10^2 + b^2
144 = 100 + b^2
44 = b^2
b = √44
b ≈ 6.6
Therefore, the measure of the other leg is approximately 6.6 cm.