Question

Construct the triangle with the measurement given and locate its orthocenter:
Triangle $KLM$ with $LM=5.5cm$, $\angle KLM={90}^o$ and $\angle LMK={45}^o$.

Answer 1

1. Draw a line $LM=5.5cm$

2. Construct ${90}^o$ at $L$ and ${45}^o$ at $M$. (Construct ${90}^o$ and then bisect the angle).

3. Both meet at point $K$. We get $△KLM$