Geometry

Hong Kong

Stage 1 - Stage 3

Consider the image attached.

Find $x$`x` giving reasons.

Easy

Approx a minute

Find $x$`x`, giving reasons for your answer.

Triangle ABC is a right-angled triangle. It is reflected about one of its edges and the two triangles together form an acute isosceles triangle. Along which edge is it reflected?

A rectangle’s length is $5$5 times its width. How many isosceles right-angled triangles can fit exactly into the rectangle if the equal side lengths of the triangle measure the same as the width of the rectangle?

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