Mathematics - Triangles
Exam Duration: 45 Mins Total Questions : 30
Which triangle is formed by AB = 3 cm, BC = 4 cm and AC = 8 cm?
- (a)
A scalene triangle
- (b)
An isosceles triangle.
- (c)
An equilateral triangle.
- (d)
No triangle is formed.
If two angles in a triangle are 65° and 85°, what is the third angle?
- (a)
30°
- (b)
45°
- (c)
60°
- (d)
90°
In \(\triangle\) ABC, if AB = BCand \(\angle\)B = 80°, what is the measure of\(\angle\)C?
- (a)
50°
- (b)
100°
- (c)
130°
- (d)
180°
Which triangle is formed BC = AC = 7.2 cm and\(\angle\)C = 90°?
- (a)
A right angled triangle.
- (b)
An isosceles triangle.
- (c)
A right angled isosceles triangle.
- (d)
No triangle is formed.
In a \(\triangle\) PQR, PQ = PR and \(\angle\)Q is twice that of \(\angle\)P.What is the measure of \(\angle\)Q?
- (a)
72°
- (b)
36°
- (c)
144°
- (d)
108°
If two sides of an isosceles triangle are 3 cm and 8 cm, what is the length of the third side?
- (a)
3 cm
- (b)
8 cm
- (c)
3 cm or 8 cm
- (d)
Neither (A) nor (B)
If in a \(\triangle\)ABC, \(\angle\)A = 60° and AB = AC, of what type is \(\triangle\)ABC?
- (a)
An isosceles triangle
- (b)
A right angled triangle
- (c)
An isosceles right angled triangle
- (d)
An equilateral triangle.
A triangle always has
- (a)
exactly one acute angle
- (b)
exactly two acute angles
- (c)
at least two acute angles
- (d)
exactly 2 right angles
If P: An isosceles triangle is right angled. Q: \(\angle\)A = \(\angle\)B = 45° and \(\angle\)C = 90°, which of the following statements is true?
- (a)
P is true and Q is the correct explanation of P.
- (b)
P is true and Q is not the correct explanation of P.
- (c)
P is false
- (d)
P is the correct explanation of Q.
What is the ratio in which the centroid of a triangle divides the medians?
- (a)
1 : 2
- (b)
1 : 3
- (c)
2: 1
- (d)
3: 1
The centroid of a triangle is the point of concurrence of which of these?
- (a)
Angle bisectors
- (b)
Perpendicular bisectors
- (c)
Altitudes
- (d)
Medians
In\(\triangle\) ABC, D is the midpoint of BC and G is the centroid of the triangle. If GD = 2 cm, what is the length of AD?
- (a)
4 cm
- (b)
6 cm
- (c)
2 cm
- (d)
8 cm
Which of the following statements is true?
- (a)
The orthocentre of a right angled triangle is the vertex containing the right angle.
- (b)
The median of a triangle joins a vertex to the midpoint of the opposite side
- (c)
The centroid of a right angled triangle lies in the interior of the triangle.
- (d)
All the above
In a scalene triangle ABC, X is the midpoint of BC. What is AX?
- (a)
Median
- (b)
Altitude
- (c)
Centroid
- (d)
Orthocentre
In \(\triangle\)XYZ, XP is the median.Which of the following is correct?
- (a)
XP = XY
- (b)
YP = PZ
- (c)
XP = XZ
- (d)
XY = XZ
In \(\triangle\) PQR.\(\angle\)Q = 90o. Which of the following is the longest side?
- (a)
RQ
- (b)
PQ
- (c)
PR
- (d)
Either (A) or (B)
In the figure given, what are the values of \(\angle\) b, \(\angle\)c and \(\angle\)a respectively?
- (a)
18°,70° and 92°
- (b)
92°,70° and 18°
- (c)
70°,92° and 18°
- (d)
70°,18° and 92°
The triangle XYZ is right angled at X.Which is the longest side of \(\triangle\)XYZ ?
- (a)
XY
- (b)
XZ
- (c)
ZX
- (d)
YZ
What is the number of medians in a triangle?
- (a)
0
- (b)
2
- (c)
3
- (d)
1
Find the angles x and y respectively.
- (a)
x = 47°, Y = 25°
- (b)
x = 27°, Y = 45°
- (c)
x = 45°,Y = 27°
- (d)
x = 25°, Y = 47°
Find the value of x.
- (a)
106°
- (b)
53°
- (c)
26°
- (d)
52°
Find the measure of the angle x in the given figure.
- (a)
50°
- (b)
70°
- (c)
60°
- (d)
30°
In a \(\triangle\) ABC, which of the given conditions holds?
- (a)
AB - BC > CA
- (b)
AB + BC < CA
- (c)
AB - BC < CA
- (d)
AB + CA < BC
In the figure (not drawn to scale), ABCD is a square, ADE is an equilateral triangle and BFE is a straight line, find y.
- (a)
90°
- (b)
45°
- (c)
75°
- (d)
15°
In the figure, ABCD is a rectangle, \(\triangle\)CEF is an equilateral triangle. Find x
- (a)
25°
- (b)
30°
- (c)
20°
- (d)
50°
A 26 m long ladder reached a window 24 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall
- (a)
10m
- (b)
20m
- (c)
5 m
- (d)
25 m
Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.
- (a)
150cm
- (b)
140cm
- (c)
130cm
- (d)
120cm
A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.
- (a)
40 m
- (b)
30 m
- (c)
50 m
- (d)
10m
Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm
What will be the correct answer?
- (a)
90 cm
- (b)
45 cm
- (c)
89 cm
- (d)
98 cm
Which of the following statements is TRUE?
Statement-1: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Statement -2 : If P is a point on the side BC of \(\triangle\)ABC. Then (AB + BC + AC) > 2AP
- (a)
Only Statement-1
- (b)
Only Statement-2
- (c)
Both Statement-1 and Statement-2
- (d)
Neither Statement-1 nor Statement-2