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Notes 7-5: 45,45,90 Triangles

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are going to be talking about special right triangles for missing lengths in a 45-45 90 triangle to start by labeling your triangle and so here's how you're going to label across from 45° we're going to label act across from the other 45 we're going to label at and the side across from the 90 we're going to label a square root 2 so 45-45-90 is always x x and x square root to so let's take a look at it it says what would you label put the labels be for each of the sides of the triangle below my ex here and then my ex square root to hear so a b is ax is Axe and AC is x square root 2 we're going to have a Crosman the 45 X cross from unit 45 across from the 90s square root so a b c is a square root 2 and AC is looking at number three across from the 45 45 square root 2 so a b is a square root where is your heart The Links of the missing side cancel let's take a look here number for so first things first we're going to label or always going to label so we're going to have an x square root 2 as I always Circle whatever information if x equals and then a C I'm just going to put the spies in the place of that X right there and so that's going to give me five square root 2 let's take a look at number 5 so on this fine we're going to start our labeling we've got X at index so on this one they told me that four square root 2 is equal to x square root 2 so that means my ex is for so a is 4 and 2 BC is 4 alright let's take a look at number six start with our labeling we're going to have RX RX and then RX Circle what we know so right now we know that x square root nominative side by the square root of 2 and so now I have that x equals 6 over the square root of 2 3 square root and that's going to give us six square root 2/2 6/2 reduces to a 3 so I would actually end up with three square root 2 which is my a b that's going to be 3 square root 2 and then your BC is also going to be 3 square root 2 now I know that this over here seems like an awful lot so I want you guys to know that if the hypotenuse is the expert two is a whole number there is a shortcut there is a trick that you can turn yourself on when you're dealing with 45 590 if this is a whole number simply / 2 attack on the √ 206 / 2 is 3 and then I just put the square root of 2 with it I would say 8 / 2 is 4 and then I would if you take a look at yours Kenneth Simon isn't very long it's only nine problems but if you're somebody that received modifications that I only want you to work the store no problems remember that's only for people who receive modification questions feel free to email

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Notes 7-5: 45,45,90 Triangles

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