Triangles — Practice Quiz
Telangana Board · Class 9 · Mathematics
4 MCQs on Triangles for Telangana Board Class 9 Mathematics: tap an answer to check it and see why. The full chapter test has 45 questions.
Interactive on Super Tutor
Studying Triangles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Triangles
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
In triangle ABC, if AB = 5 cm, AC = 5 cm, and angle A = 60°, what type of triangle is ABC?
Two triangles ABC and DEF have AB = DE = 6 cm, BC = EF = 8 cm, and angle B = angle E = 90°. Which congruence rule proves these triangles are congruent?
In triangle PQR, PQ = 7 cm, QR = 3 cm, and PR = 5 cm. What is the largest angle in this triangle?
If two triangles have all three sides equal respectively, they are congruent by which rule?
Sample Questions
In an isosceles triangle ABC with AB = AC, if angle A = 40°, find angle B.
Show answer
70°
Step 1: Given triangle ABC is isosceles with AB = AC and angle A = 40°. Step 2: In an isosceles triangle, angles opposite to equal sides are equal. Step 3: Since AB = AC, angles B and C are equal (both opposite to equal sides). Step 4: Using angle sum property: angle A + angle B + angle C = 180°. Step 5: Substituting: 40° + angle B + angle B = 180°, so 2(angle B) = 140°, therefore angle B = 70°.
Which of the following can be the sides of a triangle?
Show answer
5 cm, 12 cm, 13 cm
Step 1: For any triangle, the sum of any two sides must be greater than the third side (triangle inequality). Step 2: Check option A: 3 + 4 = 7 < 8, violates triangle inequality. Step 3: Check option B: 5 + 12 = 17 > 13 ✓, 5 + 13 = 18 > 12 ✓, 12 + 13 = 25 > 5 ✓. Step 4: Check option C: 2 + 3 = 5 < 6, violates triangle inequality. Step 5: Check option D: 1 + 2 = 3 < 4, violates triangle inequality. Therefore, only option B satisfies triangle inequality.
In right triangle ABC with right angle at C, if AB = 10 cm and BC = 6 cm, find AC using Pythagoras theorem.
Show answer
8 cm
Step 1: Given right triangle ABC with right angle at C, AB = 10 cm (hypotenuse), BC = 6 cm. Step 2: Using Pythagoras theorem: (hypotenuse)² = (side₁)² + (side₂)². Step 3: AB² = AC² + BC², so 10² = AC² + 6². Step 4: 100 = AC² + 36, therefore AC² = 100 - 36 = 64. Step 5: AC = √64 = 8 cm.
Two triangles ABC and PQR have angle A = angle P, angle B = angle Q, and AB = PQ. They are congruent by which rule?
Show answer
ASA
Step 1: Given angle A = angle P, angle B = angle Q, and side AB = side PQ. Step 2: We have two pairs of equal angles and one pair of equal sides. Step 3: The equal side AB = PQ is between the two equal angles (angle A and angle B in triangle ABC, angle P and angle Q in triangle PQR). Step 4: This matches the ASA (Angle-Side-Angle) congruence rule. Step 5: Therefore, triangles ABC and PQR are congruent by ASA rule.
+41 more questions on Triangles (Telangana Board Class 9 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Triangles for Telangana Board Class 9 Mathematics?
How many practice questions are there for Triangles?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Triangles
For serious students
Get the full Triangles chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Board Class 9 Mathematics. Free to start, no card needed.