One of the legs of a right triangle measures 1 cm and the other leg measures 13 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
We can use the Pythagorean theorem to find the length of the hypotenuse (c):
a^2 + b^2 = c^2
Plugging in the values given:
1^2 + 13^2 = c^2
Simplifying:
170 = c^2
Taking the square root of both sides:
c ≈ 13.0
So the length of the hypotenuse is approximately 13.0 cm.
To find the measure of the hypotenuse of a right triangle, you can use the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's label the legs of the triangle as "a" and "b", and the hypotenuse as "c".
Given:
Leg a = 1 cm
Leg b = 13 cm
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 1^2 + 13^2
c^2 = 1 + 169
c^2 = 170
To find the measure of the hypotenuse (c), we need to take the square root of both sides:
√c^2 = √170
Calculating the square root, we get:
c ≈ 13.04 cm
Therefore, the measure of the hypotenuse (c) is approximately 13.04 cm (rounded to the nearest tenth).