Solution

Isosceles Triangles Sebastian

First name
Sebastian
School
St Luke's Catholic College
School's Twitter handle
@StLukesMP
Country
Age
11

After reading the question, I knew that it said "One point has to stay as (20,20), so | started by marking that. Then, I realised that an Isosceles Triangle always has two equal sides. So, I made a few drafts and remembered that the question said the area HAS to be 9cm?. So I played around and got the option of a Triangle with (20,20), (20,26) and (23, 23). By this point I had 1 Triangle as my answer.

Then, I realised that every shape can be rotated to make a New Shape. So, I rotated the shape another 3 times before I had 4 stages of rotation. I used the GeoGabra tool on the Nrich Website to prove my answer, and only got 4 triangles as well.

This makes my final Answer that 4 Triangles match the 4 conditions.