Practice Problems (Junior Cert Mathematics): Flashcards

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Pythagoras' theorem formula

c2=a2+b2c^2 = a^2 + b^2

Hypotenuse of triangle with legs 33 cm, 44 cm

55 cm

Leg with hypotenuse 1010 cm, other leg 66 cm

88 cm

Height reached: 13m ladder, 5m from wall

1212 m

Sine ratio formula

sin⁡(A)=OppositeHypotenuse\sin(A) = \frac{\text{Opposite}}{\text{Hypotenuse}}

When to use sine ratio

Opposite side and hypotenuse involved

Cosine ratio formula

cos⁡(A)=AdjacentHypotenuse\cos(A) = \frac{\text{Adjacent}}{\text{Hypotenuse}}

When to use cosine ratio

Adjacent side and hypotenuse involved

Tangent ratio formula

tan⁡(A)=OppositeAdjacent\tan(A) = \frac{\text{Opposite}}{\text{Adjacent}}

When to use tangent ratio

Opposite and adjacent sides involved

Opposite side: angle 30°30°, hypotenuse 1010 cm

55 cm

Angle A: adjacent 88 cm, hypotenuse 1010 cm

36.9°36.9°

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