Triangles Class 9 Worksheets

# Triangles Class 9 Worksheets

## Triangles Class 9 Worksheets

Triangles Class 9 Worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of Triangles Class 9 Worksheets is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Triangles Class 9 Worksheets. Parents and teachers can also assess the students by giving them these Triangles Class 9 Worksheets to solve.

Maths-formula brings such worksheets on Triangles Class 9 for you. By solving these Triangles Class 9 Worksheets, you can increase the understanding of the concepts learnt. These Triangles Class 9 Worksheets are prepared by experienced teachers and subject matter experts.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these Triangles Class 9 Worksheets to the students to test them. Unit tests can also be prepared by the teachers using these Triangles Class 9 Worksheets.

## Triangles Class 9 Worksheet 1

1. In the given figure, find the angle marked as x.

2. Find whether the triangle is right-angled, for the sides of the given length.

a. 15, 17, 10               b. 6, 8, 10                   c. 13, 8, 15

3. Two poles 16 m and 10 m high stands upright on a ground. If the distance between their feet is 8 m, then find the distance between their tops.

4. In the given figure, ABC is a triangle in which AB = AC. If BC is produced to D, prove that AD > AC.

5. The length of the sides of some triangles is given below. Which of them is right-angled? In case of right-angled, name the angle that measures 90°.

a. XY = 12 cm, YZ = 20 cm, ZX = 16 cm

b. DE = 4.1 cm, FD = 0.9 cm, EF = 4.0 cm

6. State true or false.

a. The angles of a triangle are 90°, 30°, 90°.

b. A triangle can have two obtuse angles.

c. In Î”ABC, BC > AC implies A > B.

d. The point of concurrency of three medians of a triangle is a centroid.

e. A scalene triangle can be equiangular.

7. What is the correct order of angles of Î”ABC from the smallest to the greatest?

8. In the given figure, ABBC and EDFD such that BA = DE and BF = DC.

Prove that Î”ABC  Î”DEF and hence show that AC = EF.

9. The given figure shows the part of roof structure of a school. Show that PQ = PS.

10. In the given figure, ABC is an isosceles triangle with AB = AC and also given that BD = EC. Prove that AE = AD.

11. A tree breaks at a point but did not separate. Its top touches the ground at a distance of 12 m from its base. If it broke at a height of 5 m from the ground, what was the actual height of the tree before it broke?

## Triangles Class 9 Worksheet 2

1. One of the exterior angles of a triangle is 80° and the interior opposite angles are in the ratio 3 : 5. Find the angles of the triangle.

2. ABC is an isosceles triangle, right-angled at C. Prove that AB2 = 2AC2.

3. ABC is a triangle in which AB = AC. P is any point in the interior of the triangle such that ABP = ACP. Prove that AP bisects BAC.

4. In the given figure, Î”ABC is right-angled at C and CD AB. Also A = 65°. Find:

a. ACD

b. CBD

c. BCD

5. In the given figure, prove that

A + B + C + D + E + F = 360°.

6. Compute the value of x in each of the following:

7. Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

8. Fill in the blanks.

a. An exterior angle of a triangle is equal to the sum of the _________.

b. In a triangle, if two sides are equal, then the _________ opposite to those sides are equal.

c. In a triangle, sum of any two sides of a triangle is always _________ the third side.

d. Two rectangles are congruent if they have the same _________.

e. Two circles are congruent if they have the same _________.

9. In the given figure, find ABD. Also, if C = 3 ABC, find ABC.

10. The ratio between the vertical angle and the base angle of an isosceles triangle is 2 : 5. Find the angles of the triangle.

11. AD, BE and CF are the altitudes of Î”ABC which are equal. Prove that Î”ABC is an equilateral triangle.

Worksheet 1

1. 130°

2. a. No     b. Yes      c. No

3. 10 m

5. a. Right-angled; X

b. Right-angled; F

6. a. False         b. False

c. True          d. True

e. False

7. B < A < C

8. Do it yourself

9. Do it yourself

10. Do it yourself

11. 18 m

Worksheet 2

1. 30°, 50°, 100°

2. Do it yourself

3. Do it yourself

4. a. 25°     b. 25°      c. 65°

5. Do it yourself

6. a. 88°       b. 125°

7. 13 m

8. a. opposite interior angles

b. angles        c. greater than

9. 30°; 20°

10. 75°; 75°; 30°

11. Do it yourself

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