Question
In any rhombus one angles is 60 and perimeter is 40 meter. Longer diagonal will be
Answers
Reiny
Each of the sides must be 10 m
The longer diagonal creates an isosceles triangle with angles 30,30 and 120°
Several ways to do this
1. Construct a perpendicular which will bisect the diagonal.
Let the diagonal be 2x
then x/10 = cos30°
x = 10cos30 = 8.66..
2x = 17.32 m correct to 2 decimals
2. using the cosine law
d^2 = 10^2 + 10^2 - 2(10)(10)cos120
= 300
d = √300 = 17.32 m , same as above
The longer diagonal creates an isosceles triangle with angles 30,30 and 120°
Several ways to do this
1. Construct a perpendicular which will bisect the diagonal.
Let the diagonal be 2x
then x/10 = cos30°
x = 10cos30 = 8.66..
2x = 17.32 m correct to 2 decimals
2. using the cosine law
d^2 = 10^2 + 10^2 - 2(10)(10)cos120
= 300
d = √300 = 17.32 m , same as above
math help asap
reiny can you please help me with my post thanks