Advertisements
Advertisements
Question
ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =
Options
55°
70°
35°
110°
Advertisements
Solution
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
RELATED QUESTIONS
If ΔABC ≅ ΔABC is isosceles with
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:
State, whether the pairs of triangles given in the following figures are congruent or not:
Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).
In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
∆ABC and ∆PQR are congruent under the correspondence:
ABC ↔ RQP
Write the parts of ∆ABC that correspond to
(i) `bar"PQ"`
(ii)∠Q
(iii) `bar"RP"`
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.
If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?
