Mathematics 4024 · O Level · Pythagoras' theorem

Pythagoras' theorem — practice question

(a(i))[1]

A rectangular field has dimensions of $30\text{ m}$ and $45\text{ m}$. Calculate the perimeter.

(a(ii))[2]

Calculate the diagonal length.

(b)[4]

The diagram shows a sketch of triangle $PQR$. Every length is in centimetres. Calculate the value of $a$.

(c)[6]

The diagram shows a sketch of quadrilateral $ABCD$. Every length is given in centimetres. The area of quadrilateral $ABCD$ is $70\text{ cm}^2$. Calculate $\angle DAB$.

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