find the height of an equilateral triangle having side 20.
Answers
Answered by
1
Answer:
Consider the diagram:
enter image source here
we can use Pythgoras theorem applied to the blue triangle giving:
h
2
+
10
2
=
20
2
rearranging:
h
=
√
20
2
−
10
2
=
√
300
=
17.3
c
m
Answered by
1
Step-by-step explanation:
area of a equilateral triangle = √3(a)^2/4
=√3(20)^2/4
=√3(400) /4
=√3(100)
value of √3=1.73
therefore area = 1.73 x 100
= 173
but area =1/2 x base x height
(base will be 20 as it is a equilateral triangle)
173 = 1/2 x 20 x h
173 =10h
17.3 =h
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