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18 May 2010, 18:23
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Could anyone please help me with these questions.
Given that a right angle triangle has a hypotenuse of 10, what is the
perimeter of the triangle?
(1) The ratio of height to the base of triangle is 4/3
(2) The ratio of height to the base of triangle is 12/9
============================================================
From 2005 to 2006, by what percent did the sales of Company A increase?
(1) In 2005, the sales for Company A were 1/4 of the sales of
Company B.
(2) In 2006, the sales for Company A were 3/4 of the sales of
Company B.
Given that a right angle triangle has a hypotenuse of 10, what is the
perimeter of the triangle?
(1) The ratio of height to the base of triangle is 4/3
(2) The ratio of height to the base of triangle is 12/9
============================================================
From 2005 to 2006, by what percent did the sales of Company A increase?
(1) In 2005, the sales for Company A were 1/4 of the sales of
Company B.
(2) In 2006, the sales for Company A were 3/4 of the sales of
Company B.
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18 May 2010, 20:47
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Okay the initial information is possibly enough to answer the question. A hypotenuse of 10 in a right triangle. If the sides are integers then they have to be 6 and 8. This is pythagorean theorem: asquared plus bsquared equals csquared. 6(6) + 8(8) = 10(10). Carpenters call this the 345 rule.
So statement 1 : 4/3 is the ratio of the sides corresponds with our 8/6 actual sides.
Statement 2 is identical to statement 1 when reduced.
Each alone is sufficient.
D.
If you found this helpful, please give kudos.
Thanks,
Skip
So statement 1 : 4/3 is the ratio of the sides corresponds with our 8/6 actual sides.
Statement 2 is identical to statement 1 when reduced.
Each alone is sufficient.
D.
If you found this helpful, please give kudos.
Thanks,
Skip
19 May 2010, 08:33
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shekar123
Could anyone please help me with these questions.
Given that a right angle triangle has a hypotenuse of 10, what is the perimeter of the triangle?
(1) The ratio of height to the base of triangle is 4/3
(2) The ratio of height to the base of triangle is 12/9
(1): 16x^2 + 9x^2 = 100 => x^2 = 4 hence x = 2Given that a right angle triangle has a hypotenuse of 10, what is the perimeter of the triangle?
(1) The ratio of height to the base of triangle is 4/3
(2) The ratio of height to the base of triangle is 12/9
so sufficient to answer
(2): this ratio can be reduced to 4/3 so sufficient to answer
Hence D.
