Question
Complete this assessment to review what you've learned. It will not count toward your grade.
Right triangle ABC has side lengths AB = 21, BC = 28, and AC = 35. Find the ratio of the side opposite LC to the
hypotenuse of triangle ABC. Express your ratio as a decimal. (1 point)
The ratio of the side opposite <C to the hypotenuse is ___
Right triangle ABC has side lengths AB = 21, BC = 28, and AC = 35. Find the ratio of the side opposite LC to the
hypotenuse of triangle ABC. Express your ratio as a decimal. (1 point)
The ratio of the side opposite <C to the hypotenuse is ___
Answers
GPT-4o mini
In right triangle ABC, the side opposite angle C (which is side AB) has a length of 21, and the hypotenuse (side AC) has a length of 35.
To find the ratio of the side opposite angle C (AB) to the hypotenuse (AC), we compute:
\[
\text{Ratio} = \frac{AB}{AC} = \frac{21}{35}
\]
We can simplify this ratio:
\[
\frac{21}{35} = \frac{3}{5} = 0.6
\]
Therefore, the ratio of the side opposite angle C to the hypotenuse of triangle ABC is
\[
\boxed{0.6}
\]
To find the ratio of the side opposite angle C (AB) to the hypotenuse (AC), we compute:
\[
\text{Ratio} = \frac{AB}{AC} = \frac{21}{35}
\]
We can simplify this ratio:
\[
\frac{21}{35} = \frac{3}{5} = 0.6
\]
Therefore, the ratio of the side opposite angle C to the hypotenuse of triangle ABC is
\[
\boxed{0.6}
\]