Question

check wheather triangle ABC and triangle PQR are similar​

Answer 1

Answer:

ᴀʀ. (△ᴀʙᴄ) = 49ᴄᴍ2

ᴀʀ. (△ᴩQʀ) = 25ᴄᴍ2

ᴀʙ=5.6ᴄᴍ

ꜰᴏʀ ꜱɪᴍɪʟᴀʀ ᴛʀɪᴀɴɢʟᴇꜱ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ᴀʀᴇᴀꜱ ɪꜱ ᴇqᴜᴀʟ ᴛᴏ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ꜱqᴜᴀʀᴇ ᴏꜰ ɪᴛꜱ ꜱɪᴅᴇꜱ.

ᴛʜᴜꜱ, ᴀ(△ᴩQʀ)ᴀ(△ᴀʙᴄ)=ᴩQ2ᴀʙ2

2549=ᴩQ2(5.6)2

ᴩQ2=4931.36×25

ᴩQ2=16

ᴩQ=4ᴄᴍ

Answer 2

yes, in triangle abc the angle B e is equal to 80°

in triangle pqr the angle R is equal to 40°

( bye Angle Sum Property of triangles )

all the angles of both the triangles are equal so so by AA similarity criterion

triangle ABC ~triangle PQR

HOPE IT HELPS (◕ᴗ◕✿)