Practice Problems (Junior Cert Mathematics): Quizzes

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What is the Pythagoras' theorem formula for finding the hypotenuse cc?

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

A right-angled triangle has sides 33 cm and 44 cm. What is the hypotenuse length?

55 cm

If the hypotenuse is 1010 cm and one side is 66 cm, what is the other side?

88 cm

A 1313 m ladder is 55 m from a wall. How high does it reach?

1212 m

What is the sine ratio formula?

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

If angle A=30°A = 30° and hypotenuse is 1010 cm, what is the opposite side?

55 cm

Which ratio uses adjacent and hypotenuse?

Cosine

If adjacent is 88 cm and hypotenuse is 1010 cm, what is angle AA (to 1 d.p.)?

36.9°36.9°

What is the tangent ratio formula?

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

If angle A=40°A = 40° and adjacent is 77 cm, find opposite side (to 2 d.p.)

5.875.87 cm

To find a leg when the hypotenuse is known, which formula is used?

b2=c2−a2b^2 = c^2 - a^2

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