Q.1
In ΔPQR, S and T are point on sides PR and PQ respectively such that ∠PQR = ∠PST, If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is
Q.2
ABC is an equilateral triangle and CD is the internal bisector of ∠C. If DC is produced to E such that AC = CE, then ∠CAE is equal to
Q.3
If each angle of a triangle is less than the sum of the other two, then the triangle is
Q.4
In ΔABC, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then ΔABC and ΔDBE are :
Q.5
In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80°, then the measure of ∠ABC is:
Q.6
In a ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD is :
Q.7
In ΔABC and ΔDEF, AB = DE and BC = EF, then one can infer that ΔABC ≅ ΔDEF, when
Q.8
If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?
Q.9
In a ΔABC, AB = BC, ∠B = x° and ∠A = (2x - 20)°, Then ∠B is :
Q.10
If in a triangle ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and $$\frac{{AD}}{{BD}}$$ = $$\frac{3}{5}$$. If AC = 4 cm, then AE is
Q.11
In a ΔABC, ∠A + ∠B = 118°, ∠A + ∠C = 96°. Find the value of ∠A.
Q.12
For a triangle ABC, D and E are two points on AB and AC such that AD = $$\frac{1}{4}$$ AB, AE = $$\frac{1}{4}$$ AC. If BC = 12 cm, then DE is :
Q.13
In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD, then DE : BC is
Q.14
In a triangle ABC, ∠A = 90°, ∠C = 55°, $${AD}$$ ⊥ $${BC}$$. What is the value of ∠BAD ?
Q.15
Angle between the internal bisectors of two angles of a triangle ∠B and ∠C is 120°, then ∠A is :
Q.16
G is the centroid of the equilateral ΔABC. If AB = 10 cm then length of AG is ?
Q.17
In ΔABC, ∠A + ∠B = 65°, ∠B + ∠C = 140°, then find ∠B.
Q.18
BL and CM are medians of ΔABC right-angled at A and BC = 5 cm. If BL = $$\frac{{3\sqrt 5 }}{2}$$ cm, then the length of CM is
Q.19
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the smallest angle is :
Q.20
ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. A circle with center O has been inscribed inside ΔABC. The radius of the circle is
Q.21
If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then
Q.22
In a ΔABC ∠A : ∠B : ∠C = 2 : 3 : 4. A line CD drawn || to AB, then the ∠ACD is :
Q.23
ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If ∠CBE = ∠ACF = 130°, then the value of ∠GAB is :
Q.24
ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ∠ABC = 30°, then ∠BCD is equal to
Q.25
If two angles of a triangle are 21° and 38°, then the triangle is :
Q.26
In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is
Q.27
In triangle ABC, ∠BAC = 75°, ∠ABC = 45°, $$\overline {BC} $$ is produced to D. If ∠ACD = x°, then $$\frac{x}{3}$$% of 60° is
Q.28
ABC is a right angled triangled, right angled at C and P is the length of the perpendicular from C on AB. If a, b and c are the length of the sides BC, CA and AB respectively, then
Q.29
A point D is taken on the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then
Q.30
In a right-angle ΔABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is
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