A square sits in the right-angle corner of a right-angled triangle, its far corner touching the slanting side, and the square's diagonal from the right-angle corner is drawn. How many triangles are there?

Question

Accepted Answer

7. The 2 halves of the square and the 2 small corner triangles above and beside it, 4. The diagonal meets the slanting side at the square's far corner, splitting the big triangle into 2, and the big triangle itself, 3. Total 4 + 3 = 7 .

A square sits in the right-angle corner of a right-angled triangle, its far corner touching the slanting side, and the square's diagonal from the right-angle corner is drawn. How many triangles are there?

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