# Question #dd576

##### 2 Answers

#### Explanation:

Side of right angled triangle are

Applying Pythagoras rule,

therefore,

-Sahar

Using Pythagoras theorem and noting that largest side must represent hypotenuse we get

#a^2+(a+d)^2=(a+2d)^2#

#=>a^2+a^2+2ad+d^2=a^2+4ad+4d^2#

#=>a^2-2ad-3d^2=0#

#=>a^2+ad-3ad-3d^2=0#

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

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

We get two equations as

#(a+d)=0# .....(1)

#(a-3d)=0# .....(2)

from (1) we get

#a=-d#

It is given that both ** # a and d# are positive**. Therefore, this solution needs to be ignored.

From (2) we get

#a=3d#

#=>a:d=3:1#