The area of $ABCD$ is $84$. The diagonals meet at $P$, and $|AP|=5$, $|BP|=3$, $|CP|=7$, $|DP|=2$. Find the...
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The area of quadrilateral $ABCD$ is $84$. The diagonals intersect at point $P$. If
$$|AP|= 5,quad|BP|= 3,quad|CP|= 7,quad|DP|= 2, $$
calculate the area of the four triangles in quadrilateral $ABCD$.
geometry
edited Jan 13 at 14:32
Blue
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asked Jan 13 at 13:48
KhasnaKhasna
1
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closed as off-topic by Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan Jan 13 at 16:40
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The area of quadrilateral $ABCD$ is $84$. The diagonals intersect at point $P$. If
$$|AP|= 5,quad|BP|= 3,quad|CP|= 7,quad|DP|= 2, $$
calculate the area of the four triangles in quadrilateral $ABCD$.
geometry
edited Jan 13 at 14:32
Blue
49.1k870156
asked Jan 13 at 13:48
KhasnaKhasna
1
$endgroup$
closed as off-topic by Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan Jan 13 at 16:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan
If this question can be reworded to fit the rules in the help center, please edit the question.
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please include your attempt if possible when you ask a question on this site.
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– Siong Thye Goh
Jan 13 at 13:57
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$begingroup$
The area of quadrilateral $ABCD$ is $84$. The diagonals intersect at point $P$. If
$$|AP|= 5,quad|BP|= 3,quad|CP|= 7,quad|DP|= 2, $$
calculate the area of the four triangles in quadrilateral $ABCD$.
geometry
edited Jan 13 at 14:32
Blue
49.1k870156
asked Jan 13 at 13:48
KhasnaKhasna
1
$endgroup$
The area of quadrilateral $ABCD$ is $84$. The diagonals intersect at point $P$. If
$$|AP|= 5,quad|BP|= 3,quad|CP|= 7,quad|DP|= 2, $$
calculate the area of the four triangles in quadrilateral $ABCD$.
geometry
geometry
edited Jan 13 at 14:32
Blue
49.1k870156
asked Jan 13 at 13:48
KhasnaKhasna
1
edited Jan 13 at 14:32
Blue
49.1k870156
asked Jan 13 at 13:48
KhasnaKhasna
1
edited Jan 13 at 14:32
Blue
49.1k870156
edited Jan 13 at 14:32
Blue
49.1k870156
edited Jan 13 at 14:32
Blue
49.1k870156
49.1k870156
asked Jan 13 at 13:48
KhasnaKhasna
1
asked Jan 13 at 13:48
KhasnaKhasna
1
asked Jan 13 at 13:48
KhasnaKhasna
1
1
closed as off-topic by Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan Jan 13 at 16:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan Jan 13 at 16:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Namaste, KM101, Aretino, Pierre-Guy Plamondon, Aweygan
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
please include your attempt if possible when you ask a question on this site.
$endgroup$
– Siong Thye Goh
Jan 13 at 13:57
add a comment |
$begingroup$
please include your attempt if possible when you ask a question on this site.
$endgroup$
– Siong Thye Goh
Jan 13 at 13:57
$begingroup$
please include your attempt if possible when you ask a question on this site.
$endgroup$
– Siong Thye Goh
Jan 13 at 13:57
$begingroup$
please include your attempt if possible when you ask a question on this site.
$endgroup$
– Siong Thye Goh
Jan 13 at 13:57
add a comment |
1 Answer
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Hint: draw the perpendicular from $A$ onto the $BD$ diagonal. What's the ratio of the areas for triangles $ABP$ and $APD$? Repeat the procedure and write all areas in term of the area of $ABP$. Sum them together and you find the area of $ABCD$.
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Hint: draw the perpendicular from $A$ onto the $BD$ diagonal. What's the ratio of the areas for triangles $ABP$ and $APD$? Repeat the procedure and write all areas in term of the area of $ABP$. Sum them together and you find the area of $ABCD$.
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
$endgroup$
add a comment |
$begingroup$
Hint: draw the perpendicular from $A$ onto the $BD$ diagonal. What's the ratio of the areas for triangles $ABP$ and $APD$? Repeat the procedure and write all areas in term of the area of $ABP$. Sum them together and you find the area of $ABCD$.
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
$endgroup$
add a comment |
$begingroup$
Hint: draw the perpendicular from $A$ onto the $BD$ diagonal. What's the ratio of the areas for triangles $ABP$ and $APD$? Repeat the procedure and write all areas in term of the area of $ABP$. Sum them together and you find the area of $ABCD$.
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
$endgroup$
Hint: draw the perpendicular from $A$ onto the $BD$ diagonal. What's the ratio of the areas for triangles $ABP$ and $APD$? Repeat the procedure and write all areas in term of the area of $ABP$. Sum them together and you find the area of $ABCD$.
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
answered Jan 13 at 14:08
AndreiAndrei
13.1k21230
13.1k21230
add a comment |
add a comment |
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$begingroup$
please include your attempt if possible when you ask a question on this site.
$endgroup$
– Siong Thye Goh
Jan 13 at 13:57