Few teams of boys and girls are made separately. Each team of girls has 15 members. All teams of boys have same numbers of members that is more than 5.
The total number of team members is 80.
Which of the following numbers cannot be the number of members in a team of boys?
In a triangle ABC, ∠A = 90° and D is the mid-point of AC. The value of BC2 - BD2 is equal to ______.
In ΔABC, AD ⊥ BC, ∠B = ∠C and AB = AC. State by which property ΔADB ΔADC ?
(A) SAS property
(B) SSS property
(C) RHS property
(D) ASA property
In ΔABC, ∠BAC = 90° and AD ⊥ BC. If ∠BAD = 40°, then ∠ACD is ______.
Which of the following statements is correct ?
A : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
R : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
(A) A is false and R is the true
(B) A is true and R is the correct explanation of A
(C) A is true and R is false
(D) Both A and R are false
ABCD is a square. P is a point in its interior such that Δ PAB is equilateral. Then measure of ∠PCB is ______.
Match the following.
|(1)||Orthocentre||(A) The point of intersection of the perpendicular bisectors of the sides of a triangle|
|(2)||Centroid||(B) The point at which the three angle bisectors of a triangle meet|
|(3)||Circumcentre||(C) The point at which the altitudes of a triangle meet|
|(4)||Incentre||(D) The point at which the medians of a triangle meet|
(A) 1C, 2D, 3A, 4B
(B) 1A, 2B, 3C, 4D
(C) 1B, 2C, 3D, 4A
(D) 1D, 2A, 3B, 4C