Triangles

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**Practice Problems**

Question 1: In a triangle ABC, D and E are two mid points of sides AB and AC respectively. If angle BAC = 40 and angle ABC = 65, then angle CED is?

A: 130

B: 75

C: 25

D: 105

Question 2: D and E are two points on the side AC and BC respectively of ΔABC such that DE = 18cm and CE = 5cm and angle DEC = 90. If tan ABC = 3.6, then AC: BD?

A: BC:2CE

B: 2CE:BC

C: 2BC:CE

D: CE:2BC

Question 3: In ΔABC, AD is perpendicular to BC and AD² = BD.DC. The measure of angle BAC is?

A: 60

B: 75

C: 90

D: 45

Question 4: In ΔABC, AB=BC=K, AC = √2K, then ΔABC is a?

A: isosceles

B: right angled

C: equilateral

D: right isosceles triangle

Question 5: G is centroid of the triangle ABC, where AB, BC and CA are 7cm, 24cm and 25cm respectively, then BG is?

A: 19/3

B: 25/3

C: 11/2

D: 25/2

Question 6: ΔABC and ΔDEF are similar. Also angle A = angle d and angle B = angle E. If 4AB = DE and BC = 12cm, then EF is equal to?

A: 3

B: 24

C: 16

D: 48

Question 7: ABCD is a rectangle where the ratio of the length of AB and BC is 3:2. If P is the mid-point of AB, then the value of sinCPB is?

A: 3/5

B: 2/5

C: 3/4

D: 4/5

Question 8: The length of the two adjacent sides of a rectangle inscribed in a circle are 5cm and 12 cm respectively. Then the radius of the circle will be?

A: 6

B: 6.5

C: 8

D: 8.5

Question 9: PQRS is a rectangle in which side of PQ = 24cm and qr = 16cm. T is a point on RS. What is the area of the triangle PTQ?

A: 192

B: 162

C: 148

D: Cannot be determined

Question 10: ABCD is a square and CDE is an equilateral triangle outside the square. What is the value of angle BEC?

A: 15

B: 30

C: 25

D: 10 **Answers and Solutions **

1:- D, 105

2:- C, 2BC:CE

3:- C, 90

4:- B, right angled

5:- B, 25/3

6:- D, 48

7:- D, 4/5

8:- B, 6.5

9:- A, 192

10:- A, 15

Vikas is Maths Faculty with 5+ years of teaching experience. Vikas has cleared SSC CGL, SSC CHSL and multiple other government exams.

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