The height of an equilateral triangle is 4√3. what is the perimeter of the equilateral triangle?
a) 12 units
b) 12√3 units
c) 24 units
d) 24√3 units

= 24 units

Therefore; using the Pythagoras theorem;

S² = (S/2)² + h²; where h is the height of the equilateral triangle

S² =S²/4 + (4√3)²

S² = S²/4 + 48 ;   Multiplying everywhere by 4; we get

4 S² = S² + (48×4)

3 S² =  192

S² =  64

S = 8

but, perimeter of an equilateral triangle is side × 3

Perimeter= 8 × 3

                = 24 units

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.