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Chapter 5 Solutions
Elementary Geometry for College Students
- In each of the following exercises a diagonal is shown within a rectangular solid a. Compute the true length of diagonal AB. b. Compute CAB. Given: H=0.800 in. L=1.400 in. W=1.000 in. Use this figure for Exercises 11 and 12arrow_forwardFor Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT, and midpoints M, N, P, Q of the sides. a Does QN=12(RS+VT)? b Does MP=12(RV+ST)? Exercises 9, 10arrow_forwardA rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.arrow_forward
- By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0arrow_forwardCircles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2arrow_forwardGiven: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC, and BNarrow_forward
- In MNP for Exercise 29, medians MB, NA and PC intersect at centroid Q. a Find QB If MQ=8.2. b Find PQ if QC=72. c. Find AN if AQ=4.6 Exercises 27, 28arrow_forwardProve by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_forwardGiven: RST, with XYRT and YZRS Prove: RXXS=ZTRZarrow_forward
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