Exercise 1.82 ( (The Tangential Version of Power of the Point)). In Figure 25(a), suppose we...

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Exercise 1.82 († (The Tangential Version of Power of the Point)). In Figure 25(a), suppose we let R and R' move toward each other until they meet, so that the 'chord' RR' is really the tangent at R, as in Figure 25(b). Then we get yet another version of the power of the point. Suppose a chord QQ' intersects a tangent at R at a point P. Show that |PQ||PQ| = |PR|². P R Q (a) R' Q' Po Q R (b) B Exercise 1.82 († (The Tangential Version of Power of the Point)). In Figure 25(a), suppose we let R and R' move toward each other until they meet, so that the 'chord' RR' is really the tangent at R, as in Figure 25(b). Then we get yet another version of the power of the point. Suppose a chord QQ' intersects a tangent at R at a point P. Show that |PQ||PQ| = |PR|². P R Q (a) R' Q' Po Q R (b) B

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In figa if we join R to Q and we let R and R to meet each other then line segme... View the full answer