Posted by Joseph on .
An equalateral triangle has the length of it's sides given as (y+3)cm, (2yx)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,
all 3 sides are equal , so form equations using any two pairs.
y+3 = 2yx > 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,
all 3 sides are equal , so form equations using any two pairs.
y+3 = 2yx > 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,
11