perimeter

Expert replies

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Tue Feb 09, 2010 1:13 pm

The perimeter of an isosceles triangle is A cm and each of the two equal sides is B cm longer than the third unequal side. Which of the following is the length of the equal sides?

(A - B)/3
A + A/B
(A+B)/3
A/3 = B
None of these

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fibbonnaci: MBA Student; Posts: 403; Joined: Tue Dec 22, 2009 7:32 pmFollowed by: 22 members; Thanked: 98 times

by fibbonnaci » Tue Feb 09, 2010 10:59 pm

let the side of unequal length be X.
The equal sides are X+ B

perimeter => X+X+B+X+B = A

3X+2B= A
X= (A-2B)/3

length of the equal side= X+B
(A-2B)/3 + B => (A+B)/3

option C is my answer

ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

by ajith » Thu Feb 11, 2010 9:02 am

shashank.ism wrote:The perimeter of an isosceles triangle is A cm and each of the two equal sides is B cm longer than the third unequal side. Which of the following is the length of the equal sides?

(A - B)/3
A + A/B
(A+B)/3
A/3 = B
None of these

Say the length of unequal side be X, length of equal sides = X+B

2(X+B) + X = A
3X = A-2B

X = (A-2B)/3
Length of equal sides = X+B =(A-2B)/3 + B = (A+B)/3

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komal: Legendary Member; Posts: 777; Joined: Fri Jan 01, 2010 4:02 amFollowed by: 47 members; Location: Mumbai, India; Thanked: 117 times

by komal » Tue Feb 16, 2010 10:12 am

shashank.ism wrote:The perimeter of an isosceles triangle is A cm and each of the two equal sides is B cm longer than the third unequal side. Which of the following is the length of the equal sides?

(A - B)/3
A + A/B
(A+B)/3
A/3 = B
None of these

Let equal sides = x cm ⇒ 3rd side = x – B cm
⇒ Perimeter A = x + x + (x – B) = 3x – B cm
⇒ x =
(A + B)/3 cm.

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