Question

If the perimeter of an equilateral triangle is 180 cm, what will be its altitude​

Answer 1

Answer:

Let a be side

So, 3a=180 cm⟹a=60 cm

Area=

4

3

a

2

=

4

3

×60

2

=900

3

Area=1558.84 cm

2

Answer 2

Step-by-step explanation:

In equilateral triangle ABC

Let AB=BC=CA=x

x+x+x = 180

3x = 180

x = 60cm

Let the midpoint of base BC be Z

The altitude of equilateral triangle bisects the base

So altitude will be AZ

Now,

BZ = ZC = 1/2BC

BZ = ZC = 1/2×60

BZ = ZC = 30CM

In right triangle AZB

AB² = BZ²+AZ²

60² = 30²+AZ²

3600-900 = AZ²

AZ² = 2700

AZ = 30√3

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