Let the hypotenuse <span>of a 30-60-90 triangle = l
</span>So, the leg which faces angel 60 = l sin 60 = (√3)/2 l // and the leg faces angel 30 = l sin 30 = 0.5 l //
∴ the longer leg = (√3)/2 l
∴ The ratio between the longer leg and hypotenuse = (√3)/2 l : l = (√3)/2 : 1 = √3 : 2 = 3 : 2√3
The correct choices will be C and E
Answer:
9/10 pounds
Step-by-step explanation:
3/5 × 1 1/2
= 9/10
Jessica got $0.43. Because 2.89 - 2.46 = 0.43. Hope this helps.
Answer:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
Step-by-step explanation:
