Pythagoras Theorem Practice 2
In this section, you will practise with 4 carefully chosen questions that help you apply the Pythagoras’ Theorem formula and master its key rules and techniques.
Related Lessons:
Practice 2 - Question 1
In the diagram, \(AB=\left(x+5\right)cm\), \(AC=\left(1-2x\right)cm\), \(BC=\left(x+6\right)cm\), \(\angle ABC=90°\)
- Show that \(x^2-13x-30=0\)
- Hence, calculate the area of \(\triangle ABC\)
Practice 2 - Question 2
Find the value of the unknown side \(x\).
Practice 2 - Question 3
PQRS is a parallelogram with a perimeter of 72 cm. It is given that PQ=10cm and PQ is perpendicular to PR. Find the area of the parallelogram.
Practice 2 - Question 4
ABCD is a parallelogram. DF which is the perpendicular distance from D to BC is 3cm. AE which is the perpendicular distance from A to CD extended is 6cm. Given that the area of ABCD is 30\(cm^2\), find the
- length of BC
- perimeter of ABCD
- area of the trapezium ABCE.