Question

practice set 3.5std 9th triangle​

Answer 1

Answer:

Question 1.

If ∆XYZ ~ ∆LMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides.

Solution:

∆XYZ ~ ∆LMN [Given]

∴ ∠X ≅ ∠L

∠Y ≅ ∠M >

∠Z ≅ ∠N [Corresponding angles of similar triangles]

XYLM=YZMN=XZLN [Corresponding sides of similar triangles]

Question 2.

In ∆XYZ, XY = 4 cm, YZ = 6 cm, XZ = 5 cm. If ∆XYZ ~ ∆PQR and PQ = 8 cm, then find the lengths of remaining sides of ∆PQR.

Solution:

∆XYZ ~ ∆PQR [Given]

∴ XYPQ=YZQR=XZPR [Corresponding sides of similar triangles]

Maharashtra Board Class 9 Maths Solutions Chapter 3 Triangles Practice Set 3.5 1

∴ PR = 10 cm

∴ QR = 12 cm, PR = 10cm