# Maybe that's too much work

Geometry Level 5

A triangle ABC has sides 6 ,7 , 8 units . The line through its incentre parallel to the shortest side is drawn to meet the two other sides at P and Q.

Find the length of the line segment PQ ; it is of the form $$\frac{a}{z}$$ .

• Evaluate $$a^{z}$$ and express it in base $$z$$. Let's name it as k .

• Now find it's $$a^{th}$$ root taking k in base 10 .
• Report the least integer greater than it .

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