# What were the side lengths of the two triangles I had drawn on the board this morning?

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This morning I asked my math class to find the areas of two right-angled triangles. Lottie-Lu's hand shot up immediately, so I asked her the first one.

"24" she announced.

She was right (for a change!) and I made the mistake of asking her how she did it.

"Easy. Just add all the sides together."

I was about to correct her and say it was just a coincidence, when I noticed that her method worked on my second triangle as well!

Lottie-Lu must have caught my frustrated thoughts. "Well, it works, doesn't it?" she chirped.

What were the side lengths of the two triangles I had drawn on the board this morning? They were all whole numbers.

posted Dec 17, 2014

6+8+10=24 & 6*8/2=24
5+12+13=30 & 5*12/2=30

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