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

External forces, It is the catch all force. If there are some other forces ...

It is the catch all force. If there are some other forces which we decide we need to act on our object we lump them in now and call this good. We classically call F(t) the forcing

Complex roots - second order differential equations, We will be looking at ...

We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those

Solid mensuration, what is the importance of solid mensuration?

what is the importance of solid mensuration?

Drug administration, A drug is administrated once every four hours. Let D(n...

A drug is administrated once every four hours. Let D(n) be the amount of the drug in the blood system at the nth interval. The body eliminates a certain fraction p of the drug duri

Solution of rectilinear figures, A straight line AB on the side of a hill i...

A straight line AB on the side of a hill is inclined at 15.0° to the horizontal. The axis of a tunnel 486ft. long is inclined 28.6° below the horizontal lies in a vertical plane wi

If all the tickets are the similar price what was the cost, The total ticke...

The total ticket sales for a soccer game were $1,260; 210 tickets were purchased. If all the tickets are the similar price, what was the cost of a ticket? Divide the total sale

If field of his patio is 195 what is the length of diagonal, Patrick has a ...

Patrick has a rectangular patio whose length is 5 m less than the diagonal and a width which is 7 m less than the diagonal. If the field of his patio is 195 m 2 , what is the lengt

Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

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