Posted by **Joseph** on Wednesday, October 26, 2011 at 3:31pm.

An equalateral triangle has the length of it's sides given as (y+3)cm, (2y-x)cm and (4x +3)cm.Find (a) the value of x and y (b)perimeter of the triangle (c) altitude of the triangle to the nearest whole number

- Math -
**Reiny**, Wednesday, October 26, 2011 at 4:24pm
all 3 sides are equal , so form equations using any two pairs.

y+3 = 2y-x ---> y = 3+x

y+3 = 4x+3 --> y = 4x

so 4x = 3+x

3x=3

x = 1

then y = 4(1) = 4

x=1 , y=4

each side is 7 , perimeter is 21

for the height, use Pythagoras

3.5^2 + h^2 = 7^2

h = √36.75 = appr. 6.06

or

sin60° = h/7

h = 7sin60 = 6.06

- Math -
**Anonymous**, Wednesday, October 26, 2011 at 4:29pm
all 3 sides are equal , so form equations using any two pairs.

y+3 = 2y-x ---> y = 3+x

y+3 = 4x+3 --> y = 4x

so 4x = 3+x

3x=3

x = 1

then y = 4(1) = 4

x=1 , y=4

each side is 7 , perimeter is 21

for the height, use Pythagoras

3.5^2 + h^2 = 7^2

h = √36.75 = appr. 6.06

or

sin60° = h/7

h = 7sin60 = 6.06

- Math -
**leo perry**, Thursday, February 11, 2016 at 4:59pm
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