Question

ok, so, i need help with this question:, all working please

the "give way" sign is in the shape of a equalateral triangle with a vertical height of 41.2 cm

a- how long was each side of the road sign?
b- what area of metal was used to make the sign

Answer 1

all you need to know sin = oppsite/hypotenuse

Answer 2

let the side be 2x
now the height will form a right angled triangle with half the base and one side
so height ^2 + 1/2 base ^2 = side ^2
so 41.2^2 + x^2 = 4x^2
3x^2 = 1697.44
x^2 = 565.81
x = 23.78
2x = 47.57
the side has length 47.57

Answer 3

and area = (1/2) absin(C)

Answer 4

the area = 1/2 *xy * sin theta
= 1/2 * 0.86 * 47.57*47.57
=980 cm^2