**SSC CGL Geometry Triangle Set 1 : Ques No 1**

∆ABC is an isosceles triangle with AB = AC and AD is the median to the base BC. If ∠ ABC = 35°, then find ∠BAD

**Options:**

A. 70°

B. 35°

C. 55°

D. 110°

**Answer: C**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 2**

The length of 3 sides of a triangle are, 6cm, 8cm and 10cm. The length of the median to the greatest side is then,

**Options:**

A. 5 cm

B. 8 cm

C. 4.8 cm

D. 6 cm

**Answer: A**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 3**

If I is the incenter of ∆ABC, ∠ABC = 65° and ∠ABC = 55°, then find ∠BIC.

**Options:**

A. 110°

B. 120°

C. 130°

D. 140°

**Answer: B**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 4**

If the median drawn on the base of a triangle is half its base, the triangle will be,

**Options:**

A. Acute Angled Triangle

B. Obtuse Angled Triangle

C. Right Angled Triangle

D. Equilateral Triangle

**Answer: C**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 5**

In a right angled triangle the product of its two sides equals half of the square of the third side which is the hypotenuse. One of the acute angles must then be

**Options:**

A. 15°

B. 30°

C. 45°

D. 60°

**Answer: C**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 6**

AD is the median of ∆ABC and O is the centroid such that AO = 10 cm. Find the length of OD in cm

**Options:**

A. 7

B. 5

C. 4

D. 2

**Answer: B**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 7**

A, B and C are three points on the circumference of a circle. if AB = AC = 5√2 and ∠BAC = 90°, then the value of radius is

**Options:**

A. 15 cm

B. 5 cm

C. 10 cm

D. 20 cm

**Answer: B**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 8**

In ∆ABC, ∠C is an obtuse angle. The bisectors of exterior angles at A and B meet extended BC and AC at D and E respectively. If AB = AD = BE, then find the value of ∠ACB

**Options:**

A. 120 degrees

B. 108 degrees

C. 105 degrees

D. 135 degrees

**Answer: B**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 9**

How many triangles can be formed by taking any three from the four line segments of length 2 cm, 3 cm, 5 cm and 6 cm?

**Options:**

A. 1

B. 2

C. 3

D. 4

**Answer: B**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 10**

In right triangle ABC, BL and Cm are two medians with right angle at ∠A and BC = 5 cm. If BL = (3√5)/2, then the length of CM is

**Options:**

A. 2√5 cm

B. 10√2 cm

C. 5√2 cm

D. 4√5 cm

**Answer: A**

**Solution:**

**SSC CGL Geometry Triangle Set 1 : Ques No 11**

The ratio of the sides of a triangle is 5 : 12 : 13. If the difference between the largest side and the smallest side of the triangle is 1.6. Then, the area of the triangle is

**Options:**

A. 2.4

B. 1.2

C. 1.8

D. 2.6

**Answer: B**

**SSC CGL Geometry Triangle Set 1 : Ques No 12**

If the side BC of a triangle ABC is extended up to D such that CD = AC and angle BAD = 109° and angle ACB = 72°, then the value of angle ABC is

**Options:**

A. 35 degree

B. 60 degree

C. 40 degree

D. 45 degree

**Answer: A**