Recent questions tagged congruence and inequalities of triangles

+1 vote

1 answer

Internal bisector of ∠A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects

asked Apr 3, 2019 in JEE by kratos

+2 votes

1 answer

Points D, E are taken on the side BC of a triangle ABC such that BD = DE = EC. If ∠BAD = x, ∠DAE = y, ∠EAC = z,

asked Mar 24, 2019 in JEE by kratos

+3 votes

1 answer

Statement I The points(2, 1) and (-3, 5) lie on opposite side of the line

asked Mar 17, 2019 in JEE by kratos

+3 votes

1 answer

Prove that If two sides of a triangle are unequal, the longer side has the greater angle opposite to it.

asked Mar 2, 2019 in Class 9 by kratos

+1 vote

1 answer

Prove that In a triangle, if two angles are unequal, the side opposite to greater angle is longer than the side opposite to the smaller angle.

asked Feb 28, 2019 in Class 9 by kratos

+1 vote

1 answer

In triangles PQR and.TSM, ∠P =55degree, ∠Q=25degree, ∠M =100degree and ∠S =25degree. Is ΔQPR~ΔTSM? whv?

asked Feb 23, 2019 in Class 10 by kratos

+2 votes

1 answer

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

asked Feb 19, 2019 in Class 9 by kratos

+3 votes

0 answers

∆ABC and ∆DBC are two isosceles triangles on the same base BC and vertices A

asked Feb 8, 2019 in Class 10 by kratos

+2 votes

1 answer

In ΔPQR, the bisector of ∠P intersects vector QR in M. If PQ = 10, PR = 12, QM = 8, then QR = ____

asked Feb 8, 2019 in Class 10 by kratos

+3 votes

1 answer

In Δ ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°. In Δ PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110°

asked Jan 29, 2019 in Class 9 by kratos

+3 votes

1 answer

In Fig. 8.41, if AB = AC,prove that BE = EC.

asked Jan 6, 2019 in Class 10 by kratos

+1 vote

0 answers

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ

asked Dec 28, 2018 in Class 10 by kratos

+2 votes

1 answer

ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB

asked Dec 25, 2018 in Class 10 by kratos

+1 vote

1 answer

Prove that In a triangle, the greater angle has the longer side opposite to it.

asked Dec 5, 2018 in Class 9 by kratos

+1 vote

1 answer

Construct a ΔPQR in which QR = 6 cm, PQ = 5 and ΔPQR = 60°. Also construct a ΔABC in which AB = 2/5PQ.

asked Nov 17, 2018 in Class 10 by kratos

+2 votes

1 answer

In the given figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.

asked Nov 15, 2018 in JEE by kratos

+2 votes

1 answer

In the figure if AB = AC, prove that BE = EC.

asked Nov 13, 2018 in Class 10 by kratos

+3 votes

1 answer

Triangles ABC and DBC are on the same base BC; with A, D on opposite sides of the line BC, such that ar(∆ABC) = ar(∆DBC).

asked Nov 3, 2018 in Class 9 by kratos

+1 vote

1 answer

ADC and ABC are triangles such that AD = DC and CA = AB. If ∠CAB = 20° and ∠ADC = 100°, without using Trigonometry,

asked Oct 20, 2018 in Class 9 by kratos

+3 votes

1 answer

It is given that ΔABC ~ ΔPQR with BC/QR =1/3 Then ar(Δ PRQ)/ar(ΔBCA) is equal to:

asked Oct 16, 2018 in Class 10 by kratos

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