Given that a right angle triangle has a hypotenuse of 10

Question

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.

skipjames · Answer

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.
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Thanks,
Skip

bangalorian2000 · Answer

(1): 16x^2 + 9x^2 = 100 => x^2 = 4 hence x = 2
so sufficient to answer
(2): this ratio can be reduced to 4/3 so sufficient to answer 
Hence D.

bangalorian2000 · Answer

(1): 2006 sales = x
 2005 sales = x/4
increase = 3x/4
%age = 300% hence sufficient to answer.
(2): same process hence sufficient to answer.
Hence D.

shekar123 · Answer

I think the answer is C

we are finding the increase from 2005 to 2006.

shekar123 · Answer

I think the answer is C as we are finding the increase from 2005 to 2006.

sag · Answer

I think the Ans is E.. 
As the sales of Company B might have increased or decreased by anything from 2005 to 2006...

Zorba · Answer

I too feel the answer for ques 2 shld be E.

Sales in 2005.. comp B =x comp A =x/4

Sales in 2006 ..comp B=Y comp A =3y/4

No relation can be established between x and y

Whatz the OA???

shekar123 · Answer

OA: c I still don't get it.

amitjash · Answer

Either the OA for the question is wrong or a crucial piece of information is missing in the question. If OA has to be correct, the data for company B must be available in the question stem such as company B's sales was constant in both year or company B's sales increased by 50% in one year or something like that... Someone more experienced like bunuel can confirm this.

bumpbot · Answer

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Given that a right angle triangle has a hypotenuse of 10

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