Find out ratio, Mathematics

Assignment Help:

the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d 

a)1:2 b)1:3 c)3:1 d)5:2

answer is (c) i.e. 3:1

Solution: Applying Pythagoras Theorem,

we get, (a+2d)2=a2+(a+d)2

=> a2+4d2+4ad=a2+a2+d2+2ad

=> 3d2+2ad-a2=0

=> (d+a)(3d-a)=0

neglecting (d+a)=0, by solving for (3d-a)=0, we get a:d=3:1


Related Discussions:- Find out ratio

Sketch the exponental graph of f( x )=2x and g( x )= 1/2 , Example Sketc...

Example Sketch the graph of following f( x ) = 2x  and  g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is

Estimate how long did michael practice- algebra, Suppose that the number of...

Suppose that the number of hours Katie spent practicing soccer is represented through x. Michael practiced 4 hours more than 2 times the number of hours that Katie practiced. How l

How much is invested at 8% if the total amount of interest, Kevin invested ...

Kevin invested $4,000 in an account which earns 6% interest per year and $x in a different account that earns 8% interest per year. How much is invested at 8% if the total amount o

Perform algebraic operation , Perform each of the following algebraic expr...

Perform each of the following algebraic expression as instruction says;- I.Multiply 5x+6m+4y by5 II.Divide 4ax+6ay-10az by 2a

Operation research, discuss the sequencing decision problem for n jobs on t...

discuss the sequencing decision problem for n jobs on two and three machines

Calculate the profit, Lucas purchased his motorcycle for $5,875.98 and sold...

Lucas purchased his motorcycle for $5,875.98 and sold it for $7,777.77. What was his profit? To ?nd out the pro?t, you must subtract what Lucas paid for the motorcycle from the

How many relations are possible from a set, How many relations are possible...

How many relations are possible from a set A of 'm' elements to another set B of 'n' elements?     Ans: A relation R from a set A to other set B is specified as any subset of A

Inside function and outside function, "Inside function" and "outside functi...

"Inside function" and "outside function : Generally we don't actually do all the composition stuff in using the Chain Rule. That can get little complexes and actually obscures the

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