Question

The height of an equatorial Triangle ​

Answer 1

Answer:

4.30√3cm

5. 5√3cm

Step-by-step explanation:

Let the side of equilateral triangle be a and let its height be h.

As per pythagoras theorem,

a^2=h^2+(a/2)^2

a^2=15^2+a^2/4

a^2=225+a^2/4

a^2=(900+a^2)/4

4a^2=900+a^2

4a^2-a^2=900

3a^2=900

a^2=300

a=√300

a=10√3cm

Perimeter of equilateral triangle =3a

=3×10√3

=30√3cm

Length of side(a)=10cm

As per pythagoras theorem,

a^2=h^2+(a/2)^2

10^2=h^2+(10/2)^2

100=h^2+5^2

100=h^2+25

h^2=100-25

h^2=75

h=√75

h=5√3cm

HOPE THIS BRING A SMILE IN YOUR FACE