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

Solid Mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Compound interest, A juicer is available for 3500 cash but was sold under i...

A juicer is available for 3500 cash but was sold under installment plan where the purchaser agreed to pay 1500 cash down and 3 equal quarterly installments. If the dealer charges i

Operation research, difference between scope and application of operation r...

difference between scope and application of operation research

Math, there is 22 owls . my mom gave me 6 more . how many owls do they have...

there is 22 owls . my mom gave me 6 more . how many owls do they have

Example of factor by grouping, Factor by grouping each of the following. ...

Factor by grouping each of the following. 3x 2 - 2x + 12x - 8 Solution           3x 2 - 2x + 12x - 8 In this case we collect the first two terms & the final two te

Derivatives of exponential and logarithm functions, Derivatives of Exponent...

Derivatives of Exponential and Logarithm Functions : The next set of functions which we desire to take a look at are exponential & logarithm functions. The most common exponentia

Determine the price paid for a land, A parcel of land, value $250,000 is so...

A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit

Factoring quadratics of the form x2 + bx + c, Factoring quadratics of the f...

Factoring quadratics of the form x 2 + bx + c ? This tutorial will help you factor quadratics that look something like this: x 2 + 7x + 12 (Positive coefficients; no lea

Prove that ad x af=ae x ab, ABCD is a rectangle. Δ ADE and Δ ABF are two tr...

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. Ans:    Consider Δ ADE and Δ ABF ∠D = ∠B

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