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# ​ geometry help

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4 $$In the figure shown, the ratio of BD to DC is 4 to 3. The area of \triangle ABD is 24 square centimeters. What is the area of \triangle ADC?$$

Edited by Melody to make it readable:

In the figure shown, the ratio of BD to DC is 4 to 3. The area of triangle ABD is 24 square centimeters.

What is the area of triangle ADC?

Oct 1, 2018
edited by shreyas1  Oct 2, 2018
edited by Melody  Oct 2, 2018

#1
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pls can someone help

I have been waiting for someone to help me for a long time

Oct 2, 2018
#2
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Hi Shreyas1,

But here is your answer $$\frac{BD}{DC}=\frac{4}{3}\\ \text{so let BD=4x and DC=3x }\\ Area\;\;\triangle ABD=0.5*4x*h=24\\ \qquad \qquad 2xh=24\\ \qquad \qquad xh=12\\~\\ Area\;\;\triangle ABC=0.5*7x*h\\ Area\;\;\triangle ABC=3.5xh\\ Area\;\;\triangle ABC=3.5*12\\ Area\;\;\triangle ABC=42cm^2\\$$

NOW do the subtraction to get the final answer :) Oct 2, 2018
#3
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Hey melody,

how are you. Thank you for answering my question. Also sorry about the question, I will try to not do that again. And by subtracting you get 18 right :)

shreyas1  Oct 2, 2018
#4
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Yes that sounds good :)

Melody  Oct 3, 2018