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Oak National Academy
12 questions
__________ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the hypotenuse.
Match each vector expression to its resultant vector.
A right-angled triangle has a base length of 4 cm and a perpendicular height of 3 cm. Select the length of the hypotenuse.
A right-angled triangle has a base length of 24 cm and a hypotenuse of 26 cm. Select the perpendicular height of the triangle.
A square has lengths 5 cm. The length of the diagonal of the square is ___ cm correct to 3 significant figures.
An isosceles triangle has a base length of 12 cm and side lengths of 16 cm. The perpendicular height of the triangle is ___ cm correct to the nearest millimetre.
Which of the following is the correct working out to find the length, c, of the vector {9\choose 3}?
The vector {9\choose 3} is drawn on squared paper. Each square has a side length of 1 cm. The length of the vector is ___ cm to 1 decimal place.
You are given that \mathbf{a}= {2 \choose -3} and \mathbf{b}= {4 \choose 4}. The magnitude of the vector \mathbf{a}+\mathbf{b} is ___ units to 3 s.f.
You are given that \mathbf{a}= {2 \choose -3} and \mathbf{b}= {4 \choose 4}. The magnitude of the vector \mathbf{2a}-\mathbf{b} is ___ units to 3 s.f.
You are given that \overrightarrow{OA}={36 \choose 42} and \overrightarrow{OB}={52 \choose 54}. The length of vector \overrightarrow{AB} is ___ units.
You are given that \overrightarrow{OA}={2 \choose4}, \overrightarrow{OB}={8 \choose 4} and \overrightarrow{OC}={8\choose 10}. What type of triangle is ABC?
