Question

Are the triangles in figure 1.56 similar? If yes, by which test ?

Answer 1

Yes these triangles are similar
By sss test for similar triangles

Answer 2

Answer:

Step-by-step explanation:

Δ PQR ≅ Δ LMN

if PQ/ LM = QR/MN  = PR/LN

if 6/3 = 8/4 = 10/5

if 2 = 2 = 2

Ratio of corresponding sides is equal

so

Δ PQR ≅ Δ LMN

Triangles are similar as

all the corresponding sides are proportional.

PQ : QR : PR :: 6 : 8: 10  

dividing by 2

PQ : QR : PR :: 3 : 4: 5  

LM : MN : LN ::: 3 : 4 : 5