11. The coordinates of the vertices A, B and C of the triangle ABC are (-3,7) , (2,19) and (10,7) respectively : a) Prove that the triangle is isosceles. b) Calculate the length of the perpendicular from B to AC , and use it to find the area of the triangle . (ans.:12,78)

11. The coordinates of the vertices A, B and C of the triangle ABC are (-3,7) , (2,19) and (10,7) respectively : a) Prove that the triangle is isosceles. b) Calculate the length of the perpendicular from B to AC , and use it to find the area of the triangle . (ans.:12,78)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 38E

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Question

11. The coordinates of the vertices A, B and C of the triangle ABC are (-3,7)
, (2,19) and (10,7) respectively :
a) Prove that the triangle is isosceles.
b) Calculate the length of the perpendicular from B to AC , and use it to
find the area of the triangle .
(ans.:12,78)

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