Isoscles triangle problem

You have an isosceles triangle with an area of 50cm and AB=BC=10cm. How many degrees is angle ABC?

Answers
can you help me?
kalina17
01 April 2013
Use the formula for the area of a triangle A=[ABxBCxsin(ABC)]/2, where you know A(area), AB, BC. I am sure one of the data is wrong, so make sure you use the correct information when you solve the problem.
anna_p
01 April 2013
If you don't know this formula there is another method of solving. Consider the height AD and the base BC, and write the area A=1/2 x AD x BC. From this equation you can find the height AD. Then you work in the right-angled triangle ABD, where you know a shorter side AD and the hypotenuse AB. So you can find sin ABC, therefore the angle ABC. But again, please make sure you have the correct data.
anna_p
01 April 2013
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