Given that the ratio of altitudes of two triangles is 4 : 5, ratio of their areas is 3 : 2, the ratio of their corresponding bases is :
Select an option to see the answer and solution.
In ΔABC, the external bisectors of the angles ∠B and ∠C meet at the point O. If ∠A = 70°, then the measure of ∠BOC is :
Select an option to see the answer and solution.
If I be the incentre of ΔABC and ∠B = 70° and ∠C = 50°, then the magnitude of ∠BIC is
Select an option to see the answer and solution.
In ΔABC, if AD ⊥ BC, then AB2 + CD2 is equal to
Select an option to see the answer and solution.
If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm then the length of BC is :
Select an option to see the answer and solution.
ABC is a triangle in which ∠A = 90°. Let P be any point on side AC. If BC = 10 cm, AC = 8 cm and BP = 9 cm, then AP = ?
Select an option to see the answer and solution.
∠A of ΔABC is a right angle. AD is perpendicular on BC. If BC = 14 and BD = 5 cm, then measure of AD is:
Select an option to see the answer and solution.
For a triangle ABC, D, E, F are the mid - point of its sides. If ΔABC = 24 sq. units then ΔDEF is :
Select an option to see the answer and solution.
∠A + 21 ∠B + ∠C = 140°, then ∠B is :
Select an option to see the answer and solution.
If two medians BE and CF of a triangle ABC, intersect each other at G and if BG = CG, ∠BGC = 60°, BC = 8 cm, then area of the triangle ABC is:
Select an option to see the answer and solution.
In ΔABC, ∠BAC = 90° and AD ⊥ BC. If BD = 3 cm and CD = 4 cm, then length of AD is :
Select an option to see the answer and solution.
Let ABC be an equilateral triangle and AD perpendicular to BC, then AB2 + BC2 + CA2 = ?
Select an option to see the answer and solution.
In a ΔABC, If 2∠A = 3∠B = 6∠C, then the value of ∠B is:
Select an option to see the answer and solution.
In ΔABC, AD ⊥ BC and AD2 = BD × DC. The measure of ∠BAC is :
Select an option to see the answer and solution.
In ΔABC, AB = BC = K, AC =
2 k, then ΔABC is a :
Select an option to see the answer and solution.
In ΔABC and ΔPQR, ∠B = ∠Q, ∠C = ∠R. M is the midpoint on QR, If AB : PQ = 7 : 4, then
area(△PMR)area(△ABC) is :

Select an option to see the answer and solution.
In ΔABC, ∠B = 70° and ∠C = 30°, AD and AE are respectively the perpendicular on side BC and bisector of ∠A. The measure of ∠DAE is:
Select an option to see the answer and solution.
In ΔABC and ΔDEF, if ∠A = 50°, ∠B = 70°, ∠C = 60°, ∠D = 60°, ∠E = 70° and ∠F = 50°, then
Select an option to see the answer and solution.
In ΔABC, ∠B = 60° and ∠C = 40°; AD and AE are respectively the bisector of ∠A and perpendicular on BC. The measure of ∠EAD is:
Select an option to see the answer and solution.
In ΔABC, the line parallel to BC intersect AB & AC at P & Q respectively. If AB : AP = 5 : 3, then AQ : QC is:
Select an option to see the answer and solution.