Advertisements
Advertisements
प्रश्न
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
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 a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN.
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
In ΔPQR ≅ ΔEFD then ED =
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 pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
In the given figure, prove that: ∆ ABD ≅ ∆ ACD
In the figure, BM and DN are both perpendiculars on AC and BM = DN. Prove that AC bisects BD.
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side AB of ∆ABC so that the two triangles are congruent? Give reason for your answer.
The congruent figures super impose each other completely.