Question

are triangle in figure similar, if yes then write the test of similaeity​

Answer 1

Yes , both triangles are similar .

$\bf \underline \red{Given :- }$

PQ = 6

PR = 10

QR = 8

LM = 3

LN = 5

MN = 4

Now ,

$\bf \frac{PQ }{LM} = \frac{6}{3 } = 2$

$\bf \frac{QR}{MN } = \frac{8}{4} = 2$

$\bf \frac{RP}{NL } = \frac{10}{5} = 2$

$\bf ∴ \frac{PQ}{LM } = \frac{ QR }{MN} = \frac{ RP} {NL }$

By SSS test of similarity .

Δ PQR ∼ Δ LMN

Hope it helps :)