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

Differential calculus and probability, Josephine is constructing an open bo...

Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order

Word problems, The sum of two numbers is 19, their difference is 5. find th...

The sum of two numbers is 19, their difference is 5. find the numbers

Introduction , what states and marketing tasks?

what states and marketing tasks?

Properties of reflection, explain under a reflection the image is laterally...

explain under a reflection the image is laterally inverted.

Rectilinear figure, In a parallelogram ABCD AB=20cm and AD=12cm.The bisecto...

In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.

Real number, if HCFof 657 and 963 is expressable in the form of 657x+963x-1...

if HCFof 657 and 963 is expressable in the form of 657x+963x-15findx

Price cutter sold 85 beach towels what were the total sales, Price Cutter s...

Price Cutter sold 85 beach towels for $6.95 each. What were the total sales? You must multiply the number of towels sold through the price of each towel; 85 × $6.95 = $590.75.

Find integer if sum of two consecutive odd integers is -112, The sum of two...

The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n

Calenders, on which date of the week does 4th december 2001 falls?

on which date of the week does 4th december 2001 falls?

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