what is the perimeter of a quadrilateral whose 4 sides measures 3 1/6 cm, 2 3/4cm, 4 5/12 cm, and 2 1/2 cm.. write with steps
Answers
Step-by-step explanation:
At A draw a line AM about 15 cm long, and making angle BAM of say 30 deg. With A as center mark off an arc of 3 cm with a compass to locate C on line AM. With C as center mark off an arc of 4 cm with a compass to locate D on line AM. With D as center mark off an arc of 5 cm with a compass to locate E on line AM. So we have AC = 3 cm, CD = 4 cm and DE = 5 cm.
Join E to B. Next draw DF parallel to EB, with F on the line AB. Again draw CG parallel to EB, with G on the line AB. Now the segments AG : GF : FB will be in he ratio of 3 : 4 : 5.
With G as center and GA as radius draw an arc below AB. With F as center and FB as radius draw an arc below AB to intersect the previous arc at H. Join GH and FH. Now you have triangle FGH, whose perimeter is 13 cm and GH : GF : FH will be in the ratio of 3 : 4: 5.