2003 AMC 8 Problems/Problem 6: Difference between revisions

Revision as of 15:23, 29 July 2011

Problem

Given the areas of the three squares in the figure, what is the area of the interior triangle? Error creating thumbnail: Unable to save thumbnail to destination

$\mathrm{(A)}\ 13 \qquad\mathrm{(B)}\ 30 \qquad\mathrm{(C)}\ 60 \qquad\mathrm{(D)}\ 300 \qquad\mathrm{(E)}\ 1800$

Solution

The sides of the squares are $5, 12$ and $13$ for the square with area $25, 144$ and $169$ , respectively. The legs of the interior triangle are $5$ and $12$ , so the area is $\frac{5 \times 12}{2}=\boxed{\mathrm{(B)}\ 30}$

Revision as of 13:37, 29 July 2011 view source Math Kirby (talk \| contribs) editor 260 edits Created page with "==Problem 6== Given the areas of the three squares in the figure, what is the area of the interior triangle? File:AMC8 problem 6 2003image.png <math>\mathrm{(A)}\ 13 \qquad..."		Revision as of 15:23, 29 July 2011 view source Math Kirby (talk \| contribs) editor 260 edits m →Problem 6 Newer edit →
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	==Problem 6==		==Problem==
	Given the areas of the three squares in the figure, what is the area of the interior triangle? [[File:AMC8 problem 6 2003image.png]]		Given the areas of the three squares in the figure, what is the area of the interior triangle? [[File:AMC8 problem 6 2003image.png]]

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2003 AMC 8 Problems/Problem 6: Difference between revisions

Revision as of 15:23, 29 July 2011

Problem

Solution