Triangles Worksheet — Class 10 CBSE Maths

Q1.Consider a triangle ABC. A line DE is drawn parallel to BC, intersecting AB at D and AC at E. Which of the following statements correctly represents the Basic Proportionality Theorem (BPT)?

Difficulty: Easy

Q2.In triangle PQR, points S and T are on PQ and PR respectively. If PS = 3 cm, SQ = 6 cm, PT = 4 cm, and TR = 8 cm, which of the following statements is true?

Difficulty: Easy

Q3.Consider two triangles, ΔABC and ΔDEF. If ∠A = 50°, ∠B = 60°, ∠D = 50°, and ∠F = 70°, which similarity criterion would prove ΔABC ~ ΔDEF?

Difficulty: Easy

Q4.Two triangles, ΔPQR and ΔXYZ, have sides such that PQ = 6 cm, QR = 8 cm, PR = 10 cm and XY = 3 cm, YZ = 4 cm, XZ = 5 cm. Which of the following statements is true about these triangles?

Difficulty: Easy

Q5.For two triangles ΔLMN and ΔRST to be similar by the SAS (Side-Angle-Side) criterion, which of the following sets of conditions is sufficient?

Difficulty: Easy

Q6.If two triangles, ΔABC and ΔPQR, are similar, then their corresponding angles are equal, and the ratio of their corresponding sides is _________.

Difficulty: Easy

Q7.Which of the following conditions is essential for applying the Pythagoras Theorem to a triangle?

Difficulty: Easy

Q8.Ravi was trying to find the length of the diagonal of a square with side length 5 cm. He reasoned: 'Let the diagonal be d. By Pythagoras theorem, d² = 5² + 5², so d² = 25 + 25 = 50. Therefore, d = √50 ≈ 7.07 cm.' What is the error in Ravi's reasoning, if any?

Difficulty: Easy