Q.1
Consider the following statements : I. Every equilateral triangle is necessarily an isosceles triangle. II. Every right-angled triangle is necessarily an isosceles triangle. III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle. The correct statements are:
Q.2
Consider the following statements : I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent. II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent. Of these statements :
Q.3
In ΔABC, AD ⊥ BC, then
Q.4
ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If ar (ΔABC) = 40 cm2, ar (ΔACD) = 10 cm2 and AC = 9 cm, then the length of BC is
Q.5
A triangle cannot be drawn with the following three sides
Q.6
Which of the following is a true statement
Q.7
The point of intersection of the altitudes of a triangle is called its:
Q.8
In ΔPQR, PS is the bisector of ∠P and PT ⊥ OR, then ∠TPS is equal to:
Q.9
In a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is:
Q.10
Two right angled triangles are congruent if :
I. The hypotenuse of one triangle is equal to the hypotenuse of the other.
II. A side for one triangle is equal to the corresponding side of the other.
III. Sides of the triangles are equal.
IV. An angle of the triangle are equal.
Of these statements, the correct ones are combination of:
Q.11
In case of an acute angled triangle, its orthocenter lies:
Q.12
If the measure of the angles of a triangle are in the ratio 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is:
Q.13
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :
Q.14
In a ΔABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠B is:
Q.15
In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:
Q.16
The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is
Q.17
In ΔABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is
Q.18
If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is
Q.19
In a triangle ABC, the internal bisector of the angle A meets BC at D. If AB = 4, AC = 3 and ∠A = 60°, then length of AD is :
Q.20
I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is
Q.21
In the adjoining figure AB, EF and CD are parallel lines. Given that GE = 5 cm, GC = 10 cm and DC = 18 cm, then EF is equal to:
mcq questions triangle Aptitude12
Q.22
ΔABC is similar to ΔDEF is area of ΔABC is 9 sq. cm. and area of ΔDEF is 16 sq. cm. and BC = 21 cm. Then the length of EF will be:
Q.23
ABC is a triangle, PQ is line segment intersecting AB is P and AC in Q and PQ || BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is:
Q.24
In the following figure which of the following statements is true? triangles mcq question
Q.25
AB and CD bisect each other at O. If AD = 6 cm. Then BC is : triangles mcq question 3
Q.26
In a triangle ABC,∠ A = 90°, AL is drawn perpendicular to BC, Then ∠BAL is equal to:
Triangles mcq question image
Q.27
In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incenter of ΔABC, ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are:
Q.28
If ΔPQR and ΔLMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to:
Q.29
In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is:
Q.30
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
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