Advertisements
Advertisements
प्रश्न
ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =
पर्याय
55°
70°
35°
110°
Advertisements
उत्तर
It is given that ∠B = 35°, AB=AC and Ad is the median of BC
We know that in isosceles triangle the median from he vertex to the unequal side divides it into two equal part at right angle.
Therefore,
∠ADB = 90°
∠B = ∠ADB + ∠A= 180° (Property of triangle)
35° + 90° +∠A = 180°
∠A = 180° - 125°
∠A = 55°
APPEARS IN
संबंधित प्रश्न
ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:
In a ΔABC, if AB = AC and BC is produced to D such that ∠ACD = 100°, then ∠A =
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.
By ______ test
ΔPRQ ≅ ΔSTU
In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD.
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.
The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) AM = AN (ii) ΔAMC ≅ ΔANB
In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that: AD = CE.
State, whether the pairs of triangles given in the following figures are congruent or not:
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
Two figures are congruent, if they have the same shape.
