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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Squares and Square Roots & Cubes and Cube Roots - Exercise in Chapter 3 - Squares and Square Roots & Cubes and Cube Roots

Question 142 Squares and Square Roots & Cubes and Cube Roots - Exercise

13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Can you find two other such pairs?

Answer:

The first pair is 12 and 21

Squares of numbers, 122

= 144 and 212

= 441

The second pair is 102 and 201

Squares of numbers, 1022

= 10404 and 2012

= 40401

Video transcript
hello everybody welcome to lido learning channel my name is rajna chaudhary let's solve the question here so it is given that abc is isosceles triangle with side a b is equal to ac so i have drawn an isosceles triangle already so let's name it a b c then it is given that side a b is equal to side ac and a d is lt altitude from point a on side bc so i'm going to draw that altitude from point a on side bc and let's name this point as d so we know that because it is an altitude so these two angles are going to to be 90 degree so we have to check whether this first triangle triangle abd is congruent to triangle acd or not so for that let's apply so i'm writing here in triangle abd and triangle acd we know that a b is equal to ac because we will give the reason because triangle abc is isosceles then second thing is that angle adb is equal to angle a d c they both are 90 degree because we can give the reason again here reason is that ad is perpendicular to bc at point d third is we can prove that a d is equal to d a that is common so uh this is actually rhs congruency because a b and a c they are hypotenuse and these two triangles are right angle triangle so these are hypotenuse so these two triangles are congruent by rhs congruency property so we can write that triangle a b d is congruent to triangle a c d by r rhs congruency now look at the second point in the question state the pairs of matching parts you have used in first so these are the pairs of matching parts we can list here so we can again write them in this solution of second one then third one is is it true to say that bd is equal to dc so i'm writing third here yes it is true that bd is equal to dc because these two triangles are congruent now so we can say that bd is equal to dc by corresponding parts of common triangle or congruent triangle so due to this reason bd is equal to cd so this is all from my site for this video hope you understand the method i'll see you in the next one don't forget to like comment and subscribe lido learning channel thank you
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