In triangle $ABC$, the measure of angle $B$ is $90^{*}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

MM

Mashaal Masha

Feb 29, 2024

In triangle $ABC$, the measure of angle $B$ is $90^{\circ}$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

Difficulty: Hard

A:

\frac{15}{38}

B:

\frac{15}{23}

C:

\frac{23}{15}

D:

\frac{38}{15}

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ID: 65e043e872be60754a6880a6