Lesson: Intro Special Right Triangles Public
 There are two special types of right triangles: There are two special types of right triangles:30  60  90  Triangles6030 There are two special types of right triangles:30  60  90  Triangles603045  45  90  Triangles4545 30What angles goes here?45 What angle goes here?304545 Each of these triangles have their own specific pattern3060 Each of these triangles have their own specific patternThe angle across from the 90∘ angle equals 23060 Each of these triangles have their own specific patternThe angle across from the 90∘ angle equals 230260 Each of these triangles have their own specific patternThe angle across from the 60∘ angle equals √3302√360 Each of these triangles have their own specific patternThe angle across from the 30∘ angle equals 1302√3601 Match the sides302?√3?601? A 45-45-90 triangle also has its own unique pattern A 45-45-90 triangle also has its own unique pattern4545 A 45-45-90 triangle also has its own unique pattern√2 is opposite of the 90∘ angle4545 A 45-45-90 triangle also has its own unique pattern√2 is opposite of the 90∘ angle45√245 A 45-45-90 triangle also has its own unique patternAnd 1 is opposite both 45∘ angles45√245 A 45-45-90 triangle also has its own unique patternAnd x is opposite both 45∘ angles45√21451 Match the sides45√2?1451? To solve for one of the sides of a 30-60-90 triangleyou first have to be able to find opposite sides To solve for one of the sides of a 30-60-90 triangleyou first have to be able to find opposite sides30ca60bdoesn't touch the angleAn opposite sideis the side that To solve for one of the sides of a 30-60-90 triangleyou first have to be able to find opposite sidesSide c30ca60bdoesn't touch the angleAn opposite sideis the side that To solve for one of the sides of a 30-60-90 triangleSide cyou first have to be able to find opposite sidesSide c30ca60bdoesn't touch the angleAn opposite sideis the side that To solve for one of the sides of a 30-60-90 triangleSide cyou first have to be able to find opposite sidesSide c doesn't touch the 90∘ angle30ca60bdoesn't touch the angleAn opposite sideis the side that To solve for one of the sides of a 30-60-90 triangleSide cyou first have to be able to find opposite sidesSide c doesn't touch the 90∘ angle30ca60bdoesn't touch the angleAn opposite side90∘ angleis the side that To solve for one of the sides of a 30-60-90 triangleSide cyou first have to be able to find opposite sidesSide c doesn't touch the 90∘ angleso side c is OPPOSITE the 90∘ angle30ca60bdoesn't touch the angleAn opposite side90∘ angleis the side that 30ca60bLikewise,Side a Side a30ca60bLikewise,Side a Side a30ca60bLikewise,Side a is oppositethe 60∘ angle Side a3060∘ angleca60bLikewise,Side a is oppositethe 60∘ angle 30Which side is opposite the 30∘ angle?ca60bside aside bside cside d 30Which angle is side c opposite from?ca60b30∘60∘90∘45∘ In order to use 30-60-90 triangles In order to use 30-60-90 trianglesyou must be able to match the triangle you are given In order to use 30-60-90 trianglesyou must be able to match the triangle you are given60∘8x30∘y In order to use 30-60-90 trianglesyou must be able to match the triangle you are given60∘8with the formula trianglex30∘y In order to use 30-60-90 trianglesyou must be able to match the triangle you are given60∘8with the formula trianglex30∘y260∘130∘√3 In order to use 30-60-90 trianglesyou must be able to match the triangle you are given(2)60∘8with the formula trianglex30∘y260∘130∘√3 In order to use 30-60-90 trianglesyou must be able to match the triangle you are given(2)60∘8with the formula trianglex(1)30∘y260∘130∘√3 In order to use 30-60-90 trianglesyou must be able to match the triangle you are given(2)60∘8with the formula trianglex(1)30∘y(√3)260∘130∘√3 60∘(2)?(1)?30∘(√3)?260∘130∘√3 (1)?60∘(√3)?(2)?260∘130∘√330∘ Then set up a proportion(2)60∘8x(1)30∘y(√3)260∘130∘√3 Then set up a proportion(2)60∘8x(1)30∘y(√3)260∘130∘√3 Then set up a proportion(2)60∘8x(1)30∘y(√3)28=260∘130∘√3 parenthesis Then set up a proportionon top(2)60∘8x(1)30∘y(√3)28=260∘130∘√3 Then set up a proportion(2)60∘8x(1)30∘y(√3)28=260∘130∘√3 Then set up a proportion(2)60∘8x(1)30∘y(√3)28=260∘1x130∘√3 parenthesis Then set up a proportionon top(2)60∘8x(1)30∘y(√3)28=260∘1x130∘√3 Then solve the proportion(2)60∘8x(1)30∘y(√3)28=260∘1x130∘√3 Then solve the proportion(2)60∘8x(1)30∘y(√3)28=260∘1x130∘√32x = 8 Then solve the proportion(2)60∘8x(1)30∘y(√3)28=260∘1x130∘√32x = 8x = Put parenthesis on top7?2?=1?x760ο(2)(1)x30ο(3) Cross MultiplyPut parenthesis on top72=2?x =1x7?760ο(2)(1)x30ο(3) Cross MultiplyPut parenthesis on topSolve72=2x = x =1x7760ο(2)(1)x30ο(3)
Οι μαθητές που έκαναν αυτή την δοκιμασία είδαν επίσης :

Δημιουργήθηκε με That Quiz — Δημιουργώντας δοκιμασίες και εκτελώντας δραστηριότητες όλα γίνονται εύκολα στα μαθηματικά και στ` άλλα γνωστικά αντικείμενα.