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Activity 4.1.2. Consider right triangle that the length of the hypotenuse is OP : r for some constant T > 1. Let point M lie on W between 0 and P in such a way that OM : 1, and let point N lie on OQ so that AONM is a right angle, as pictured. In addition, assume that point 0 corresponds to (0,0), point Q to (a: 0) and point Pto (a: 3;) so that 0Q a: and PQ 3; Finally let 9 be the Erneasure of APOQ Figure 4.1.4. Two right triangles AOPQ and AOM N . a. Explain why AOPQ and AOMN are similar triangles. b. What is the value of the ratio 35? What does this tell you about the 062 PC? ratios ON and MN? c. What is the value of ON in terms of 9? What is the value of MN in terms of 6? d. Use your conclusions in (b) and (c) to express the values of w and y in terms of r and I9