In Figure 5.70, all three lines are tangent to the circle. If |PR| = 5 cm, what

Question

In Figure 5.70, all three lines are tangent to the circle. If |PR| = 5 cm, what is the perimeter of delta QRS? Let M be a point outside a circle, and let a line through M be tangent to the circle at point P. Let the line through M and the center of the circle intersect the circle in points Q, R. Prove that |PM|^2 = |MQ| middot |MR|. (Actually, Exercise 9 is a special case of this relationship.) Points P, U, N, and T are on the circle given below. Prove that the opposite angles of the four-sided figure are supplementary.

Explanation / Answer

11) The perimeter of triangle RQS will be 10 units.

As we know length of tangents drawn to a circle from a point outside circle are equal. This means PR = RT

SIMILARLY, PQ =QE & SE=ST

Hence the perimeter will be 5+5=10...........Answer

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