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Two triangles are on the same base and between the same parallels. Prove that the sides or sides produced intercept equal segments on any straight line parallel to the base. Let ABC, DBC be the triangles. Draw GEHF parallel to BC meeting AB, AC, DB, DC produced in E, F, G, H respectively. EF will be equal to GH. CONSTRUCTION : Through F draw FLK || AB; through G draw GNM || CD. Produce BC to L, N and AD to M, K. Join BF, GC A B G E H

Two triangles are on the same base and between the same parallels. Prove that the sides or sides produced intercept equal segments on any straight line parallel to the base. Let ABC, DBC be the triangles. Draw GEHF parallel to BC meeting AB, AC, DB, DC produced in E, F, G, H respectively. EF will be equal to GH. CONSTRUCTION : Through F draw FLK || AB; through G draw GNM || CD. Produce BC to L, N and AD to M, K. Join BF, GC A B G E H

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Two triangles are on the same base and between the same parallels. Prove that the sides or sides produced intercept equal segments on any straight line parallel to the base. Let ABC, DBC be the triangles. Draw GEHF parallel to BC meeting AB, AC, DB, DC produced in E, F, G, H respectively. EF will be equal to GH. CONSTRUCTION : Through F draw FLK || AB; through G draw GNM || CD. Produce BC to L, N and AD to M, K. Join BF, GC A D B G E H
Transcribed Image Text:Two triangles are on the same base and between the same parallels. Prove that the sides or sides produced intercept equal segments on any straight line parallel to the base. Let ABC, DBC be the triangles. Draw GEHF parallel to BC meeting AB, AC, DB, DC produced in E, F, G, H respectively. EF will be equal to GH. CONSTRUCTION : Through F draw FLK || AB; through G draw GNM || CD. Produce BC to L, N and AD to M, K. Join BF, GC A D B G E H
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