Question

The base of an isosceles triangle exceeds each of the equal sides by 3 meters. If the perimeter is 27 meters, find each side of the triangle.

Answer 1

seriously I suck at math?

Answer 2

how?

Answer 3

OK, so, the iso. triangle means the two non-base sides are the same length. so

b + b+3 + b+3 = 27

Answer 4

the first b is the base, the second b+3 is the second side and the other b+3 is the other side; you know they must all sum to 27

Answer 5

ok

Answer 6

The perimeter of a triangle is the its sides x, x+3 and x+3,
\[x+x+3+x+3=27 \implies 3x+6=27 \implies 3x=21 \implies x=7.\]

Answer 7

fancy

Answer 8

So the sides are \(7, 10, 10\).

Answer 9

solution: (x+3) + x + X = 27
3x+3 = 27
x + 8

thus: the sides are 8, 8, 11

Answer 10

ok bye dude gtg to bed

Answer 11

it's not 7, 7, 10, considering that the given states that the base side is longer than the equal sides. . .

Answer 12

dcrose is it 7,10,10

Answer 13

or 8,8,11

Answer 14

the base is bigger so its 8,8,11

Answer 15

both equal =27

Answer 16

another medal.....????

Answer 17

oh yeah, my bad, i read it as the base being shorter too

Answer 18

show how do you get 8?

Answer 19

its say by 3meters

Answer 20

i saw how you got 7 but I don't understand how you 8?

Answer 21

the base is the longer one, right? so how long are the sides, in terms of the base B?

Answer 22

add 3

Answer 23

x+x+(X+3)=27
3x+3 =27
3x =27
X=8

thus: 8, 8, 11

i fail also at first.

Answer 24

the base is longer, not shorter

Answer 25

I don't get it how do you get 8?

Answer 26

brb
I'm going to log back

Answer 27

yeah, the base is longer that's y we got 11. given isosceles triangle where two sides are equal, and that's 8 and 8..

Answer 28

type up the answer I got to go sleep (robotobey) i will be back in the morning ;) thanks for everything special thanks to (robotobey,dcrose, Mr.math, ktwlown,jerwyn gayo)

Answer 29

The base of an isosceles triangle exceeds each of the equal sides by 3 meters. If the perimeter is 27 meters, find each side of the triangle.
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Let the base length of the isosceles triangle be "b" and the length of each of the other two sides be "s". An isosceles triangle is a triangle where two of the sides are equal in length. The word base is used here to refer to the third side.

The perimeter, "p", is the sum of the three side lengths.
p = b +2s
From the problem statement, p = 27.
27 = b + 2s
From the problem statement, the base, b, is longer than the length of either of the other tow sides by 3. So,
b = s + 3
Replace the b in the equation, 27 = b + 2s, with (s+3).
27 = (s+3) + 2s
27 = s+3+2s
27 = 3s+3
24 = 3s
8 = s
s = 8
We know from 8 lines back that b = s + 3. Replace s with 8.
b = s + 3
b = 8 + 3
b = 11
Do the solutions check out with the problem statement?
p = b + 2 s
27 = 11 + 2*8 ?
27 = 11 + 16 ?
27 = 27 ? Yes.

Answer 30

yeah. . . correct.

Answer 31

Good work. The take home is that you have to read the question really carefully. Thanks for the careful thinking.