MathBrush

Practice

Same pattern as Devi's square — eight triangles. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.

Question 1

Ravi has a square piece of canvas of side 31 cm. He cuts along the dotted lines to get one small square of area 289 cm² and 8 identical right-angled triangles. Triangle XYZ is one such triangle. Find the length of XY.

A square canvas with a small square cut from its centre; the remaining border is cut into 8 identical right-angled triangles, and XYZ is one of them.?31 cm289 cm²XYZ

Work it out on paper, then check below. ▶ See the working

Question 2

Mrs Lim has a square scarf of side 21 cm. She cuts along the dotted lines to get one small square of area 9 cm² and 8 identical right-angled triangles. Triangle ABC is one such triangle. Find the length of AB.

A square scarf with a small square cut from its centre; the remaining border is cut into 8 identical right-angled triangles, and ABC is one of them.?21 cm9 cm²ABC

Work it out on paper, then check below. ▶ See the working

Question 3

Farhan has a square kite paper of side 28 cm. He cuts along the dotted lines to get one small square of area 16 cm² and 8 identical right-angled triangles. Triangle LMN is one such triangle. Find the length of LM.

A square kite paper with a small square cut from its centre; the remaining border is cut into 8 identical right-angled triangles, and LMN is one of them.?28 cm16 cm²LMN

Work it out on paper, then check below. ▶ See the working

The working