



 
Hi Zainab. Have you been learning about the Pythagorean theorem? That's how to solve this problem. Remember that it says that a^{2} + b^{2} = c^{2}, where c is the length of the hypotenuse of a right triangle and a and b are the lengths of the "legs" (the other two sides). What you are describing is a right triangle, and the slant is the hypotenuse. So c = 6. Now it sounds like you don't know a or b, so one equation isn't going to be enough to solve the problem. But actually there is a second equation given by the question: 2a = b, because the base is twice the height. That means you can substitute 2a in for b in the Pythagorean formula and you get this: a^{2} + (2a)^{2} = 6^{2}. Now you should be able to solve the rest of the problem. Hope this helps, Stephen La Rocque. P.S.: I'm not sure why you said "equilateral triangle", because that's not implied by the question. If that's a separate question, you'll need to send it to us separately.  


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