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Current time:0:00Total duration:1:26

CCSS.Math:

they're asking us to draw a right triangle so that means it has to have a 90-degree angle that is also an isosceles triangle so that means it has to have at least two sides equal and has two sides of length three so those two sides that are going to be equal are going to be of length three it's got to be a right triangle so let's see if we can do that so let's make let's try to make this right over here the right angle let's make this side and this side have length three so three and then three right over there oops let me make sure I get that right angle right okay there you go so it's a right angle it's isosceles at least two sides are equal and the two sides have length three so it seems like we've met all of our constraints now they say is there a unique triangle that satisfies this condition so another way of rephrasing that is this the only triangle that I could have drawn that meets these conditions well I can't change this angle if I want to meet these conditions I can't change these two lengths and if you keep this angle constant and you keep these two lengths constant then this point and this point are going to be there no matter what so this is the only side that can connect those two points so this is this this is the only triangle that meets those conditions you can't have different side lengths or you couldn't have different angles right over here and also meet those conditions so is there a unique triangle that satisfies the given conditions yes there's only one unique triangle