Determining the length of a kite using the pythagorean theorem

Determining the length of a kite using the pythagorean theorem

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the properties of kites, focusing on congruent sides and bisected diagonals forming right angles. The instructor guides students through solving for the length of side BC using the Pythagorean theorem, emphasizing the importance of understanding right triangles and their properties. The session concludes with a recap of the theorem and its application in geometry.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the special angle at which the diagonals of a kite intersect?

120 degrees

45 degrees

90 degrees

60 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the kite problem, what is the significance of extracting an angle?

It helps in finding the perimeter of the kite.

It allows forming a right triangle to apply the Pythagorean theorem.

It helps in determining the congruence of the sides.

It is used to calculate the area of the kite.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the length of BC in the kite problem?

The Law of Sines

The Law of Cosines

The Pythagorean Theorem

The Triangle Inequality Theorem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the Pythagorean theorem?

a^2 - b^2 = c^2

a^2 + b^2 = c^2

a^2 + b^2 = c

a + b = c^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated length of BC in the kite problem?

4

sqrt 65

7

65