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TEACHER NOTESTriangle Sides & Angles About the Lesson In this activity, students use the Capri Jr App to create and manipulate dynamic sketches of triangles to explore and conjecture many triangle

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How to fill out triangle sides amp angles

01

Start with a triangle that has three sides and three angles.

02

Measure the lengths of each side of the triangle.

03

Label the sides as a, b, and c, where a is the length of the side opposite angle A, b is the length of the side opposite angle B, and c is the length of the side opposite angle C.

04

Measure the angles of the triangle using a protractor or other measuring tool.

05

Label the angles as A, B, and C, where angle A is the angle opposite side a, angle B is the angle opposite side b, and angle C is the angle opposite side c.

06

Use the Law of Sines to find the missing side length or angle measure. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides of a triangle.

07

Use the Law of Cosines to find the missing side length or angle measure. The Law of Cosines states that the square of a side length equals the sum of the squares of the other two side lengths minus twice the product of the other two side lengths and the cosine of the included angle.

08

Repeat steps 6 and 7 as necessary to find all the missing side lengths and angle measures.

09

Double-check your work and make sure all the side lengths and angle measures are correct.

Who needs triangle sides amp angles?

01

Anyone who is studying geometry or trigonometry needs to understand triangle sides and angles.

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Engineers and architects need to calculate triangle sides and angles when designing structures.

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Scientists may need to determine triangle sides and angles in various mathematical models and calculations.

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Pilots and navigators use triangle sides and angles to calculate distances and directions.

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Artists and designers use triangle sides and angles in perspective drawing and other forms of visual representation.

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Triangle sides and angles are also relevant to everyday life, such as in measuring distances or determining the size and shape of objects.

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