11. in the figure shown, $c$ is on the segment with endpoints $a$ and $d$. the distance between $a$ and $b$ is 2,000 km, between $a$ and $c$ is 1,600 km, between $a$ and $d$ is 2,500 km, and between $b$ and $c$ is 1,200 km. what is the distance, in kilometers, between $b$ and $d$?

a. $300\sqrt{7}$
b. 900
c. 1,200
d. 1,500

Question

11. in the figure shown, $c$ is on the segment with endpoints $a$ and $d$. the distance between $a$ and $b$ is 2,000 km, between $a$ and $c$ is 1,600 km, between $a$ and $d$ is 2,500 km, and between $b$ and $c$ is 1,200 km. what is the distance, in kilometers, between $b$ and $d$?

a. $300\sqrt{7}$
b. 900
c. 1,200
d. 1,500

Accepted Answer

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A. $300\sqrt{7}$

B. $900$

C. $1,200$

D. $1,500$

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QUESTION IMAGE

Question

Explanation:

Identify the triangle properties

Determine the remaining segment lengths

Calculate the distance BD

Answer: