# MathsPBAT - Name:TurjoChowdhury Algebra2/Trig Aim...

• Test Prep
• 26

This preview shows page 1 - 6 out of 26 pages.

Name: Turjo ChowdhuryAlgebra 2/TrigAim: How can angles help us find the area of a triangle?Objective: Students will learn how to:­Find Area of triangles without knowing its height.­Find angles and sides of a triangle.­Use the Law of Sines.Core Mathematical Standards :­CCSS.MATH.CONTENT.HSG.SRT.D.9Derive the formulaA= 1/2absin(C) for the area of a triangle by drawing an auxiliary line from avertex perpendicular to the opposite side.­A2.A.74Determine the area of a triangle or parallelogram given the measure of two sides and theincluded angle.­CCSS.MATH.CONTENT.HSG.SRT.11Understand and apply the Law of Sines to find unknown measurements in right and non­righttriangles.Do Now:1.Find the area of a triangle when the height=30 cm and the base= 15 cm­to find the area:Area=x base x height21=0.5 x 15 x 30=225mc22.Find the height of a triangle when the area=150and base= 10 cmmc2We know,Area=x base x height21
Therefore,Height=Base2 ×Area=102 ×150=10300=30 cm3. Side Measurement in cm.Find in 2 decimal places:­the side a­the angle X­the area of the triangle­to find a,
a[Pythagoras Theorem]2= 72− 5295a2= 4− 2a= √24cm.90a= 4­to find the angle XSin(x)=75X=(5/7)inS−1X=degrees5.584­to find the area:base=5 and height=4.90Area=x base x height21=0.5 x 5 x 4.90=12.25mc2
Motivation:What is the area of a triangular region of wetland? Explain your thinking.(Hint:Even though swamp and thick vegetation prevent you from making moremeasurements you can still find a height of the triangle.)For the height, a line can be drawn from the mid point of the line AB connecting to thepoint C. The line can be named h. h would be perpendicular to AB.
To find h,Sin() =04h280h=280 x Sin(40)h= 179.98 ft (correct to 2 decimal place)Therefore, we can find the area of this triangular wetland by using the formulaArea=x Base x Height21The base here is the line ABArea= 0.5 x 420 x 179.98= 37,796(Nearest whole number)tf2Vocabulary:

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 26 pages?

Course Hero member to access this document

Term
Spring
Professor
Oshira Martinez
Tags
Sin, Pbat, Sines, Square inch, Square metre
• • • 