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

SAT question, In a certain class, one half of the male students and two thi...

In a certain class, one half of the male students and two thirds of the female students speak French. If there are three fourths as many girls as boys in the class. What fraction o

Equation, Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/...

Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.

Find out solutions to second order differential equations, Find out some so...

Find out some solutions to y′′ - 9 y = 0 Solution  We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the

What is angle pairs, What is Angle Pairs? Two angles are adjacent angle...

What is Angle Pairs? Two angles are adjacent angles if they have the same vertex and share one side. Vertical angles are a pair of nonadjacent angles formed by two intersecting

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Addition of unlike terms, In this case, the first point we have to re...

In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob

Find the probability distribution of x, If a pair of dice is thrown and X d...

If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of X.Also find the expectation of X.     SOLUTION:    In a singl

What is a function, What is a Function, Anyway? Domain? Range? Next tim...

What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............

Shortcuts of fraction and squareroot, I am student of M.com and also doing...

I am student of M.com and also doing practice to crack bank or other competitive exam..please tell me shortcuts

Arithmetic progression (a.p.), A series is said to be in Arithmetic...

A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre

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