Advertisements
Advertisements
प्रश्न
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
Advertisements
उत्तर
Now in ΔABD and ΔADC
AB = AC
AD = AD
∠B = ∠C
Therefore, ΔABD ≅ ΔADC ...(SSA criteria)
Hence, BD = DC
Thus, AD bisects BC.
APPEARS IN
संबंधित प्रश्न
In triangles ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR
State which of the congruence conditions applies:
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
Which of the following is not a criterion for congruence of triangles?
In the following diagram, ABCD is a square and APB is an equilateral triangle.
(i) Prove that: ΔAPD≅ ΔBPC
(ii) Find the angles of ΔDPC.
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(BC = 5cm,AC = 6cm,∠C = 80°);
ΔXYZ;(XZ = 6cm,XY = 5cm,∠X = 70°).
In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.
Two figures are congruent, if they have the same shape.
