B 2 m A 5 m 12 m For a theatre production, a panel is constructed by joining an isosceles trapezium and a right- angled triangle together. It is given that OA= 5 m, OE= 12 m and OA is perpendicular to the base OE. OCD is perpendicular to DE and makes an angle 0 with the base OE. AB and OC are the paralle sides of the trapezium OABC and AB =2 m. The total length of the edges of the panel OABCDE is represented by S. (i) Show that S=12 cos0+2 sin0+22.

B 2 m A 5 m 12 m For a theatre production, a panel is constructed by joining an isosceles trapezium and a right- angled triangle together. It is given that OA= 5 m, OE= 12 m and OA is perpendicular to the base OE. OCD is perpendicular to DE and makes an angle 0 with the base OE. AB and OC are the paralle sides of the trapezium OABC and AB =2 m. The total length of the edges of the panel OABCDE is represented by S. (i) Show that S=12 cos0+2 sin0+22.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

See similar textbooks

Similar questions

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Given: RST with right RST; mR=30 and ST=6; RST is trisected by SM and SN Find: TN,NM, and MR
Given: AM=3x1 MB=4x5 M is the midpoint of AB Find: AB
Given: Isosceles trapezoid ABCD Equilateral FBC Right AED BC = 12, AB = 5, and ED = 16 Find: a AEAFD b PEAFD