Sine & Cosine Triangle Challenge

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Trig laws in triangles

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Princess Panaligan

Filipinas

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Froggy Jumps Sine & Cosine Triangle ChallengeVersión en línea Trig laws in triangles por Princess Panaligan 1 Which situation requires using the Law of Cosines? a Two sides and the included angle are known (SAS). b Two angles and one side are known (AAS). c ne angle and its opposite side are known. 2 Find the third side of a triangle with sides 9 cm and 12 cm and an included angle of 90∘. a 18 cm b 14 cm c 15 cm 3 In △ABC, A=50∘, a=15, and B=70∘. Find side b. a 20.5 b 16.3 c 19.9 4 In a triangle, sides are 5 cm, 7 cm, and 9 cm. Which law should be used first to find an angle? a Pythagorean Theorem b Law of Sines c Law of Cosines 5 A triangle has sides 13 cm and 14 cm with an included angle of 120∘. The third side is closest to: a 23.4 cm b 18.7 cm c 15.2 cm 6 In △ABC, A=40∘, a=12, and B=80∘. Find side b. a 19.4 b 18.1 c 17.5 7 A triangle has sides 6 cm, 8 cm, and 10 cm. What is the measure of the angle opposite the 10-cm side? a 90∘ b 120∘ c 45∘ 8 Which information is sufficient to solve a triangle using the Law of Sines? a ASA b SAS c SSS 9 In a triangle with a=8, b=6, C=120°, c by Law of Cosines? a c ≈ 8.5 b c ≈ 12 c c ≈ 10.77 10 In △ABC, A=45∘, a=20, and C=60∘. Find side c. a 24.5 b 21.8 c 23.6

Froggy Jumps

Sine & Cosine Triangle ChallengeVersión en línea

Trig laws in triangles

por Princess Panaligan

Which situation requires using the Law of Cosines?

Two sides and the included angle are known (SAS).

Two angles and one side are known (AAS).

ne angle and its opposite side are known.

Find the third side of a triangle with sides 9 cm and 12 cm and an included angle of 90∘.

18 cm

14 cm

15 cm

In △ABC, A=50∘, a=15, and B=70∘. Find side b.

20.5

16.3

19.9

In a triangle, sides are 5 cm, 7 cm, and 9 cm. Which law should be used first to find an angle?

Pythagorean Theorem

Law of Sines

Law of Cosines

A triangle has sides 13 cm and 14 cm with an included angle of 120∘. The third side is closest to:

23.4 cm

18.7 cm

15.2 cm

In △ABC, A=40∘, a=12, and B=80∘. Find side b.

19.4

18.1

17.5

A triangle has sides 6 cm, 8 cm, and 10 cm. What is the measure of the angle opposite the 10-cm side?

90∘

120∘

45∘

Which information is sufficient to solve a triangle using the Law of Sines?

ASA

SAS

SSS

In a triangle with a=8, b=6, C=120°, c by Law of Cosines?

c ≈ 8.5

c ≈ 12

c ≈ 10.77

In △ABC, A=45∘, a=20, and C=60∘. Find side c.

24.5

21.8

23.6

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Sine & Cosine Triangle Challenge

Froggy Jumps

Sobre esta actividad

Creada por

Descarga la versión para jugar en papel

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Sine & Cosine Triangle ChallengeVersión en línea

por Princess Panaligan

Which situation requires using the Law of Cosines?

Find the third side of a triangle with sides 9 cm and 12 cm and an included angle of 90∘.

In △ABC, A=50∘, a=15, and B=70∘. Find side b.

In a triangle, sides are 5 cm, 7 cm, and 9 cm. Which law should be used first to find an angle?

A triangle has sides 13 cm and 14 cm with an included angle of 120∘. The third side is closest to:

In △ABC, A=40∘, a=12, and B=80∘. Find side b.

A triangle has sides 6 cm, 8 cm, and 10 cm. What is the measure of the angle opposite the 10-cm side?

Which information is sufficient to solve a triangle using the Law of Sines?

In a triangle with a=8, b=6, C=120°, c by Law of Cosines?

In △ABC, A=45∘, a=20, and C=60∘. Find side c.

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