Question

an equilateral triangle whose side is 15 cm

Answer 1

What we have to find out in this ques may I know

Answer 2

Step-by-step explanation:

Drop perpendicular from one vertex to opposite side.

You now have two triangles with base =15/2=15/2, height =h=h, hypotenuse =15=15

Using Pythagorean theorem, we get:

(152)2+h2=152(152)2+h2=152

1524+h2=1521524+h2=152

h2=152⋅(1−14)h2=152⋅(1−14)

h2=152⋅(34)h2=152⋅(34)

h=153−−√2 cm≈12.9904 cmh=1532 cm≈12.9904 cm

In general, an equilateral triangle with side length =s=s has height

h=s3–√2h=s32

4.1K views

View 1 upvote

1



Add a comment...