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
In the given figure, if AE || DC and AB = AC, the value of ∠ABD is

In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC = 5 cm, then CD =

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 triangle in each pair are congruent.

By ______ test
ΔLMN ≅ ΔPTR
On the sides AB and AC of triangle ABC, equilateral triangle ABD and ACE are drawn. Prove that:
- ∠CAD = ∠BAE
- CD = BE
The following figure 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:
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).
ΔABC is isosceles with AB = AC. BD and CE are two medians of the triangle. Prove that BD = CE.
Two right-angled triangles ABC and ADC have the same base AC. If BC = DC, prove that AC bisects ∠BCD.
Which of the following rule is not sufficient to verify the congruency of two triangles
ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC.
