a triangle abc has angle ∟ a =60 and ∟ c =30 then the triangle is
Answers
Answer:
124.704 cm^2.
Step-by-step explanation:
In a triangle ABC, angle B=90, angle C=60, angle A=30 and BC=12cm. What is the area of the triangle?
In a right triangle with one angle equal to 30 the side opposing this angle is half of the hypotenuse. If BC opposing this angle is 12 cm then the hypotenuse is 24 cm. Then AB (the other side) is sqrt(24^2–12^2)=20.78 cm (Pythagora). Then the right triangle's area = semi-product of the sides = (12*20.78)/2 = 124.71 cm^2
In ∆ ABC , angle B=90° , angle C= 60° , angle A=30° and BC=12 cm. , applying
sine rule:-
AB/sinC = BC/sinA = CA/sinB.
or. AB/sin60° = 12/sin30°= CA/sin90°.
or. 2.AB/√3. = 2.12/1= CA/1.
or. AB = 12√3 cm. , CA(hypotenuse) = 24cm.
Area of triangle ABC = (1/2)×AB×BC = (1/2)× 12√3×12
= 72√3 cm^2. = 124.704 cm^2. Answer.
Answer:
right triangle
Step-by-step explanation:
60 + 30 + <c=180
90 + c= 180
c = 180-90
c=90