Question

One leg
a
=
28
a=28
Hypotenuse
c
=
45
c=45

Answer 1

To find the length of the other leg \( b \) of a right triangle when one leg \( a \) and the hypotenuse \( c \) are given, you can use the Pythagorean theorem:

\[
a^2 + b^2 = c^2
\]

Given:
- \( a = 28 \)
- \( c = 45 \)

Substituting these values into the Pythagorean theorem:

\[
28^2 + b^2 = 45^2
\]

Calculating the squares:

\[
784 + b^2 = 2025
\]

Now, isolate \( b^2 \):

\[
b^2 = 2025 - 784
\]
\[
b^2 = 1241
\]

Now, take the square root to find \( b \):

\[
b = \sqrt{1241}
\]

Calculating \( \sqrt{1241} \):

\[
b \approx 35.2
\]

So, the length of the other leg \( b \) is approximately \( 35.2 \).