CRE 1 - Basics | Geometry - Triangles
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In a right angled triangle, one of the acute angles is four times the other. What is the measure of the smallest angle of the triangle?
- (a)
15°
- (b)
18°
- (c)
20°
- (d)
22°
Answer: Option B
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What is the length of the altitude of an equilateral triangle of side 4 cm?
- (a)
4 cm
- (b)
6 cm
- (c)
2√3 cm
- (d)
2 cm
Answer: Option C
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If a triangle has two sides having lengths 8 units and 12 units, which of the following can be the length of the third side?
- (a)
2 units
- (b)
4 units
- (c)
6 units
- (d)
All of these
Answer: Option C
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What is the area (in cm2) of a triangle with sides 6 cm, 8 cm and 10 cm?
- (a)
34
- (b)
24
- (c)
12
- (d)
None of these
Answer: Option B
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A triangle has three internal angles in the ratio of 3 : 4 : 5. What is the value of the greatest external angle?
- (a)
57°
- (b)
90°
- (c)
135°
- (d)
Can't be determined
Answer: Option C
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In ∆ABC, D is a point on side BC such that BC = 5 × BD and A(∆ABC) is 100 sq. units. What is the area of ∆ABD in sq. units?
- (a)
20
- (b)
25
- (c)
100
- (d)
12.5
Answer: Option A
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How many triangles with integral valued sides can be formed having perimeter 14 units?
- (a)
6
- (b)
5
- (c)
4
- (d)
3
Answer: Option C
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In a triangle one of the angles is twice and the other is thrice the third angle. What is the ratio of the side opposite to the smallest angle to the side opposite to the largest angle?
- (a)
1/2
- (b)
2/1
- (c)
√3/1
- (d)
1/√3
Answer: Option A
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The largest angle (in degree) of a triangle whose sides are in the ratio 1 : 1 : √2 is
Answer: 90
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In ∆ABC, AC = BC = 10 cm, what is the area in square cm enclosed by ∆ABC if external angle C is 150°?
- (a)
50
- (b)
10
- (c)
15
- (d)
20
- (e)
25
Answer: Option E
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In a triangle ABC, AB = 13, BC = 14 and AC = 15 cm. AD is the perpendicular drawn from A to BC. Find the length of AD.
- (a)
9
- (b)
8
- (c)
10
- (d)
12
- (e)
None of these
Answer: Option D
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The interior and its adjacent exterior angle of a triangle are in the ratio 2 : 3, What is the sum of the other two angles of the triangle?
- (a)
108°
- (b)
72°
- (c)
100°
- (d)
None of these
Answer: Option A
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In the figure given below, ∠ABC = 30°, ∠ADC = 10° and ∠BCD = 20°. Find external ∠BAD.
- (a)
70°
- (b)
40°
- (c)
50°
- (d)
60°
Answer: Option D
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In the figure given below, AD : DE = 3 : 2 and BE : EC = 3 : 4. Find the ratio of area of triangle ADB to area of triangle CDE?
- (a)
1 : 1
- (b)
9 : 8
- (c)
1 : 2
- (d)
2 : 1
- (e)
Cannot be determined
Answer: Option B
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In the figure below, AD is the angle bisector of angle A. Which of the following is true?
- (a)
DC > AD < BD
- (b)
DC < AD < BD
- (c)
DC > AD > BD
- (d)
AD > BD > CD
- (e)
Cannot be determined
Answer: Option C
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The sum of three altitudes of a triangle is
- (a)
equal to the sum of three sides
- (b)
less than the sum of three sides
- (c)
greater than the sum of three sides
- (d)
twice the sum of sides
Answer: Option B
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In a triangle measure of two sides is 6 cm and 4 cm and the common angle of these two sides is 60°. Find the third side (in cm)?
- (a)
2√5
- (b)
3
- (c)
2√3
- (d)
2√7
Answer: Option D
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In a triangle ABC, AB = 12, BC = 5 and AC = 13 cm. Find the length of altitude drawn on side AC (in cm).
- (a)
5
- (b)
60/13
- (c)
2√3
- (d)
√5
Answer: Option B
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What is the area (in cm2) of an isosceles triangle ABC with sides AB = AC = 10 cm, and BC = 12 cm?
- (a)
36
- (b)
48
- (c)
24
- (d)
72
Answer: Option B
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Two triangles A and B have same perimeter. A is an equilateral triangle whereas B is an isosceles triangle. Which of the following is true regarding areas of A and B.
- (a)
A > B
- (b)
A = B
- (c)
A < B
- (d)
Cannot be determined
Answer: Option A
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Two triangles A and B have the same area. A is an equilateral triangle whereas B is an isosceles triangle. Which of the following is true about their perimeters?
- (a)
A > B
- (b)
A = B
- (c)
A < B
- (d)
Cannot be determined.
Answer: Option C
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