University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2024
Views:

193

Pages:

8
Author:

Clint W.

Relations between Sides and Angles in а Triangle Obiective: *Understand the large side is opposite the large angle *Understand the range of possiЫe sizes for each side. *Use properties of isosceles triangles to find missing measurements *Use properties of equilateral triangles to find missing measurements *Understand and use the Hinge Theorem. *Use the triangle sum theorem to find missing angle measurements in а triangle *Use the exterior angle theorem to find missing angle measurements in а triangle Triangle Sum Theorem: What do the Angles in а с А. ffi,L д,. + шLВ + шLС = 180 1. Find the measure of LC. L + L,c 1,)/Jf:J\� С +- 'i д + (оJ:5 -== I ДtQ_ l) == 36 ° 2. Find the missing angle measurements. L t -::: ":/-5 о l-1- � :ра Li-:::;.G,G о 0 3. Find the value of х. +54" + х++:у �"' ::::: --/ i -::; -1 -==-<ТО х+ 59 х+49 �- �С>· ' -- 4. Find the measure of а ngle А. 1х.-=1- t i t 3&:, -\'Lfx_ - -= / 5--:;- б'к.- 5 -==- 18 'D в 5х- 5 А А\. ML =- 4 �,s ttt � Б/./ ь Equilateral Triangle AII sides are congruent and all angles are congruent. (What is the measurement of each angle?) 1. Find the mL2; given that m.cl = бх - 12 L7--==- (.d) 2. Find the values of х and у. _ 1,-23 = \2;0 !l �i�4� zi (11у-23)" = Сап you ... •:• Solve for missing angles using the triangle sum theorem? •:• Solve for missing angles using the exterior angle theorem? •:• Use Mid -Segment properties: - 1) а Mid-segments is Parallel to it's partner side - 2) а Mid-Segment is ½ as long as it's partner side 15