Mixed Problems

Mixed Problems brings the two Pythagoras skills together in NSW Year 8 maths (NESA outcome MA4‑PYT‑C‑01). Before calculating, decide whether the side you want is the hypotenuse or a shorter side: add the squares for the hypotenuse, and subtract them for a shorter side.

You will find sides in triangles turned any way or described only in words, such as \(\angle ABC = 90^\circ\), and give exact surd answers or round them. You will also find right-angled triangles inside isosceles triangles, trapeziums and kites to work out areas and perimeters, and compare two hypotenuses without a calculator. Roof trusses and screen diagonals use the same steps. It is part of Year 8 Pythagoras.