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06 Mar 2017, 01:13
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:20) correct
36%
(01:23)
wrong
based on 131
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What is the perimeter of a certain right triangle?
1) The hypotenuse’s length is 10
2) The triangle’s area is 24
1) The hypotenuse’s length is 10
2) The triangle’s area is 24
06 Mar 2017, 03:52
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prompt analysis
let the other two sides be a and b. hypotenuse = (a^2 +b^2 )^1/2
area = ab/2
superset
the answer will be a positive real number.
Translation
In order to find the answer, we need:
1# exact value of a and b
2# two equation in a and b
3# the value of the product ab
statement analysis
St 1: (a^2 +b^2 )^1/2 = 10. two variable, one equation. INSUFFICIENT
St 2: ab/2 = 24. two variable, one equation. INSUFFICIENT.
St 1 & St 2: two variable, two equation. Can be calculated. SUFFICIENT.
Option C
let the other two sides be a and b. hypotenuse = (a^2 +b^2 )^1/2
area = ab/2
superset
the answer will be a positive real number.
Translation
In order to find the answer, we need:
1# exact value of a and b
2# two equation in a and b
3# the value of the product ab
statement analysis
St 1: (a^2 +b^2 )^1/2 = 10. two variable, one equation. INSUFFICIENT
St 2: ab/2 = 24. two variable, one equation. INSUFFICIENT.
St 1 & St 2: two variable, two equation. Can be calculated. SUFFICIENT.
Option C
06 Mar 2017, 04:21
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Because we know 10 is the hypotenuse so it should be from the set (6,8,10). Option 1 sufficient
Area is 24. Ie base * height = 24 * 2 = 48
48 we factorize and see if any of the no:S from right triangle set is derived i.e.
48= 2^4 * 3, which is 8*6 and 12* 4. 4,12 doesn't form a set of right triangle sides but 6,8 forms a set and the third side is 10. Therefore perimeter is 24 .
Thus option D.
Sent from my iPhone using GMAT Club Forum
Area is 24. Ie base * height = 24 * 2 = 48
48 we factorize and see if any of the no:S from right triangle set is derived i.e.
48= 2^4 * 3, which is 8*6 and 12* 4. 4,12 doesn't form a set of right triangle sides but 6,8 forms a set and the third side is 10. Therefore perimeter is 24 .
Thus option D.
Sent from my iPhone using GMAT Club Forum
