Practice MCQ Questions and Answer on Triangles

31.

In a ΔABC, AB = BC, âˆÂ B = x° and âˆÂ A = (2x - 20)°, Then âˆÂ B is :

• (A) 54°
• (B) 30°
• (C) 40°
• (D) 44°

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32.

In a ΔABC âˆÂ A : âˆÂ B : âˆÂ C = 2 : 3 : 4. A line CD drawn || to AB, then the âˆÂ ACD is :

• (A) 40°
• (B) 60°
• (C) 80°
• (D) 20°

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33.

ΔABC is similar to ΔDEF is area of ΔABC is 9 sq. cm. and area of ΔDEF is 16 sq. cm. and BC = 21 cm. Then the length of EF will be:

• (A) 5.6 cm
• (B) 2.8 cm
• (C) 3.7 cm
• (D) 1.4 cm

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34.

If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is

• (A) 3 units
• (B) 2 units
• (C) 4 units
• (D) 5 units

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35.

In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If âˆÂ QPR = 40°, then âˆÂ ACB is equal to:

• (A) 140°
• (B) 40°
• (C) 70°
• (D) 100°

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36.

In a ΔABC, âˆÂ A + âˆÂ B = 118°, âˆÂ A + âˆÂ C = 96°. Find the value of âˆÂ A.

• (A) 36°
• (B) 40°
• (C) 30°
• (D) 34°

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37.

Let ABC be an equilateral triangle and AX, BY, CZ be the altitude. Then the right statement out of the four give responses is :

• (A) AX = BY = CZ
• (B) AX ≠ BY = CZ
• (C) AX = BY ≠ CZ
• (D) AX ≠ BY ≠ CZ

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38.

Let O be the in-centre of a triangle ABC and D be a point on the side BC of ΔABC, such that OD âŠÂ¥ BC. If âˆÂ BOD = 15°, then âˆÂ ABC = ?

• (A) 75°
• (B) 45°
• (C) 150°
• (D) 90°

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39.

ΔABC be a right-angled triangle where âˆÂ A = 90° and AD âŠÂ¥ BC. If ar (ΔABC) = 40 cm, ar (ΔACD) = 10 cm and AC = 9 cm, then the length of BC is22

• (A) 12 cm
• (B) 18 cm
• (C) 4 cm
• (D) 6 cm

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40.

If the measures of the sides of triangle are (x² - 1), (x² + 1) and 2x cm, then the triangle would be :

• (A) Equilateral
• (B) Acute-angled
• (C) Right-Angled
• (D) Isosceles

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