Special Features Of Isosceles Triangles Columbus OH

Isosceles triangles are special and because of that there are unique relationships that involve their internal line segments. Read on and you will get more solutions for problems with isosceles triangles.

Local Companies

Running Start Resources
614.273.0493
1196 Neil Avenue
Columbus, OH
W. C. Cupe Family of Schools
614-294-3020
1132 Windsor Avenue
Columbus, OH
Heavenly Kids Center For Learning
614-221-5750
404 E Mound St
Columbus, OH
Special Education Center
614-365-5207
2571 Neil Ave
Columbus, OH
Swamp Dogs Music And More
614-268-0618
3246 North High St
Columbus, OH
Music On Maize
614-268-6591
3709 Maize Rd
Columbus, OH
M T Wellness Clinic
614-273-0810
1151 Bethel Rd Suite 302
Columbus, OH
The Yarn Shop
614-457-7836
1125 Kenny Centre
Columbus, OH
Aqua Immersion
614-457-3483
929 Jasonway Ave Suite A
Columbus, OH
Arthur Murray Studio
614-847-7541
5371 N High St
Columbus, OH

Isosceles triangles are special and because of that there are unique relationships that involve their internal line segments. Consider isosceles triangle ABC in Figure 1 .





Figure 1

An isosceles triangle with a median.


With a median drawn from the vertex to the base, BC , it can be proven that Δ BAX ≅ Δ CAX, which leads to several important theorems.

Theorem 32: If two sides of a triangle are equal, then the angles opposite those sides are also equal.

Theorem 33: If a triangle is equilateral, then it is also equiangular.

Theorem 34: If two angles of a triangle are equal, then the sides opposite these angles are also equal.

Theorem 35: If a triangle is equiangular, then it is also equilateral.

Example 1: Figure 2 has Δ QRS with QR = QS. If mQ = 50°, find mR and mS.





Figure 2

An isosceles triangle with a specified vertex angle.


Because mQ + mR + mS = 180°, and because QR = QS implies that mR = mS,





Example 2: Figure 3 has Δ ABC with mA = mB = mC, and AB = 6. Find BC and AC.





Figure 3

An equiangular triangle with a specified side.


Because the triangle is equiangular, it is also equilateral. Therefore, BC = AC = 6.

Cliffs Notes Online

Featured Local Company

Running Start Resources

614.273.0493
1196 Neil Avenue
Columbus, OH
www.innerconnect.biz

Related Local Events
OWU Science Lecture Series: Where do Rhythms Come From?
Dates: 12/3/2009 - 12/3/2009
Location: Conrades-Wetherall Science Center
Delaware, OH
View Details

Mask-Making Workshop: Transform Your Identity
Dates: 11/21/2009 - 11/21/2009
Location: Ohio Historical Center
Columbus, OH
View Details

New Vistas Lecture: This is the Way the World Ends: The Long-Term Fate of Life in the Universe
Dates: 11/19/2009 - 11/19/2009
Location: Perkins Observatory
Delaware, OH
View Details

OWU Science Lecture Series: Bee Ecology
Dates: 11/19/2009 - 11/19/2009
Location: Conrades-Wetherall Science Center
Delaware, OH
View Details

A Remarkable Evening featuring Presidential Historian and Author Michael Beschloss
Dates: 11/18/2009 - 11/18/2009
Location: The Party Barn at the Wexner Residence
New Albany, OH
View Details