Prove that ad x af=ae x ab, Mathematics

Assignment Help:

ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB.

2042_rectangle.png

Ans:    Consider Δ ADE and Δ ABF

∠D = ∠B        = 90o

∠E = ∠F         (given)

∴Δ ADE ≅ Δ ABF

AD/AB = AE/AF

⇒ AD x AF = AB x AE Proved


Related Discussions:- Prove that ad x af=ae x ab

Expressions, how do you solve expressions

how do you solve expressions

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

Some important issue of graph, Some important issue of graph Before mov...

Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.

Homogeneous odes, how do you solve a homogeneous ode that''s not in a multi...

how do you solve a homogeneous ode that''s not in a multiplication or division form

Venm diagrams, In a class, all pupils take Mathematics (M), 18 take Chemist...

In a class, all pupils take Mathematics (M), 18 take Chemistry (C), 17 take Biology (B) and 24 take Physics (P) of those taking 3 subjects only, 5 take Physics and Chemistry, 7 ta

Representation of a set, Normally, sets are given in the various ways A)...

Normally, sets are given in the various ways A) ROASTER FORM OR TABULAR FORM In that form, we describe all the member of the set within braces (curly brackets) and differen

Fractions, Andre''s boss asked him to arrange bolts placing the shortest bo...

Andre''s boss asked him to arrange bolts placing the shortest bolt near the front 1 and three fourth inch 1 and 5 eigths 1 and 11 sixteenths which is the shortest

Word problem, A computer is programmed to scan the digits of the counting n...

A computer is programmed to scan the digits of the counting numbers.For example,if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits all together. If the comput

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd