what is the area of the equilateral triangle when it's Side is 30cm?
Answers
Answered by
2
Answer:
Since it is equilateral, we can cut it in half, into two triangles that are equal in area. They are both right triangles, which is what's important
Explanation:
We find, if we cut the base, the base of the two new triangles is
30
2
cm, or 15 cm.
We know that the other two sides measure 30 cm. So, by Pythagorean theorem we can find the altitude.
The hypotenuse is 30, and one of the legs is 15. The altitude is just another leg. Note that the hypotenuse is always opposite the right angle.
Assuming the altitude is b.
15
2
+
b
2
=
30
2
b
2
=
30
2
−
15
2
b
2
=
900
−
225
b
2
=
675
b
=
15
√
3
or
25.98
Your altitude measures approximately
25.98
cm.
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Answered by
3
Answer:
area of triangle are =(3)/4×30x30
900x(3)/4
225(3)
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