Question

Are the triangles in the following figure similar? If yes, by which test?









JO BHI ISKA SAHI ANSWER DEGA USSE MAIN SALMAN KHAN KA NUMBER DUNGA COMMENT MAIN
(because we are relatives) ​

Answer 1

Answer:

yes

Step-by-step explanation:

the triangles are similar as they both are right angled triangles

this can be proven by Pythagoras theorem.

∆PQR

pr^2=qt^2+pq^2

100=64+36

100=100

therefore it is a right angled triangle

∆LMN

ln^2=mn^2+lm^2

25=16+9

25=25

therefore it is a right angled triangle

Answer 2

$\sf \Large Solution!!$

The corresponding sides of the two triangles are in a proportion.

$\sf \dfrac{PQ}{LM}=\dfrac{QR}{MN}=\dfrac{RP}{NL}$

$\sf \to \dfrac{6}{3}=\dfrac{8}{4}=\dfrac{10}{5}$

$\sf \to \dfrac{2}{1}=\dfrac{2}{1}=\dfrac{2}{1}$

Hence, we can say that ∆PQR~∆LMN by SSS theorem.

SSS Theorem → The two triangles are similar if all the corresponding sides of the triangles are in a proportion.

FYI → I don't require Salman Khan's number :)