The perimeter of an isosceles triangle is 40 CM. The base is two third of the sum of equal sides. Find the length of each side.
Answers
Answered by
194
let the equal sides be x
base = 2/3 ( x + x ) = 2/3 (2x) = 4x/3
ATQ
x + x + 4x/3 = 40
3x + 3x + 4x = 120
10x = 120
x = 12
the sides are -
12 cm
12 cm
16 cm
base = 2/3 ( x + x ) = 2/3 (2x) = 4x/3
ATQ
x + x + 4x/3 = 40
3x + 3x + 4x = 120
10x = 120
x = 12
the sides are -
12 cm
12 cm
16 cm
maria9:
welcm :)
Answered by
43
Let the sides be of length x cm
Sum of two equal sides is x+x = 2x cm
Therefore base = 2x/3 cm
A/Q,
2x + 2x/3 = 40
(6x+2x) / 3 = 40
8x/3 = 40
8x = 40*3
x = 120/8
x = 15
so, the length of equal sides = 15 cm
& length of base = 2x/3 = 30/3 = 10 cm
Hope it will help you !!!
Sum of two equal sides is x+x = 2x cm
Therefore base = 2x/3 cm
A/Q,
2x + 2x/3 = 40
(6x+2x) / 3 = 40
8x/3 = 40
8x = 40*3
x = 120/8
x = 15
so, the length of equal sides = 15 cm
& length of base = 2x/3 = 30/3 = 10 cm
Hope it will help you !!!
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