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
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠E
Mark the correct alternative in each of the following:
If ABC ≅ ΔLKM, then side of ΔLKM equal to side AC of ΔABC is
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.

In the following figure, OA = OC and AB = BC.
Prove that:
(i) ∠AOB = 90o
(ii) ΔAOD ≅ ΔCOD
(iii) AD = CD
State, whether the pairs of triangles given in the following figures are congruent or not:

In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED

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 the given figure P is a midpoint of chord AB of the circle O. prove that OP ^ AB.
In ΔABC, X and Y are two points on AB and AC such that AX = AY. If AB = AC, prove that CX = BY.
It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?
