Question

find the unknown side of the triangle when x = 10 m and y = 11 m.

part 1 of 4
the length of the hypotenuse, c, is m. if we call the other known side a we know that a = 10 m.
we will use the pythagorean theorem to find the unknown side, b.

Explanation:

Step1: Identify hypotenuse

In the right triangle, the hypotenuse is the side opposite the right angle, labeled \( y = 11 \, \text{m} \), so \( c = 11 \, \text{m} \).

Step2: Apply Pythagorean theorem

The Pythagorean theorem is \( a^2 + b^2 = c^2 \), where \( a = 10 \, \text{m} \), \( c = 11 \, \text{m} \). Solve for \( b \):
\( b^2 = c^2 - a^2 = 11^2 - 10^2 = 121 - 100 = 21 \)
\( b = \sqrt{21} \approx 4.58 \, \text{m} \) (but the first part asks for hypotenuse \( c \), which is \( 11 \, \text{m} \)).

Answer:

11