Calculate the area of an equilateral triangle whose height is 20 cm. Find the area of triangle whose sides are 17 cm 8 cm and 15 cm
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Answered by
3
Given
Height of equilateral triangle (h) = 20 cm
Given sides of triangle = 17 cm . 8 cm . 15 cm
Area of an equilateral triangle with height (h) = h2/√3
∴ Area of equilateral triangle = (20 × 20)/√3
Area of equilateral triangle = 230.940 sq.cm
According to the Pythagoras theorem
(15)2 + (8)2 = (17)2
Since it is a right angle triangle
∴ Area of a triangle (A) = (1/2) ×b ×h
A = 0.5 × 15 × 8
A = 60 sq.cm
Answered by
3
Answer:
Given height of equilateral triangle = 20 cm
Area of equilateral triangle with
height 'h' =
3
h
2
∴ Area of equilateral triangle =
3
(20)
2
=
3
400
×
3
3
=
3
400
3
sq. cm
Given sides of triangle
17 cm . 8 cm . 15 cm
By Pythagorous theorem
(15)
2
+(8)
2
=(17)
2
It is a right angled triangle
∴ Area of triangle =
2
1
×b×h
=
2
1
×15×8
= 60 sq cm
this is your answer ✔️
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