Question

in an equilateral triangle ABC,AD is a median. Then area of triangle ABC is equal to option A 2bd square option B 2 1/2xADxBC option C 1/2xADxBC OPTION D none of these

Answer 1

Answer:

Option C is correct ( 1/2xADxBC )

Step-by-step explanation:

In ΔABC , AD is median that means AD divide's BC in two equal parts

so the ΔABC will become two right angle triangle ADC and ADB,  so the area of right angle triangle ADC is 1/2×BC/2×AD

And area of ADC= area of ADB

Now the area of ΔABC is sum of area of ADC and ADB

1/2×BC/2×AD + 1/2×BC/2×AD = 1/2×BC×AD

so area of ΔABC is 1/2×BC×AD .