# Geometry

using a ruler and a pair of compasses only. construct triangle.ABC in which angle BAC=45 °.Then |AB|=7cm.then |AC|=9cm.locate P into triangle ABC which is 5cm from A and B equidistant from B and C. find PB.

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1. You are making a scale diagram : )
So if you use your compass and ruler you will be able to measure the length of PB : )

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2. Draw line segment AB
Construct angle A (bisect a right angle).
Extend the side of A to 9 cm, and mark that point C.
Draw line segment BC.
Draw a circle of radius 5 with center A
Construct the ⊥ bisector of BC
P will lie on the ⊥ bisector of BC, where it intersects the circle centered at A, inside ABC.

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oobleck

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