triangle ABC and triangle DBC are two isosceles triangles on the same – InterviewSolution

InterviewSolution

1.	triangle ABC and triangle DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that, ( i ) triangleABD = triangle ACD (ii) triangle ABP = triangle ACP (iii) AP bisects angle A as well as angle D. (iv) AP is the perpendicular bisector of BC
Answer» ANSWER :CP

Discussion

No Comment Found

Related InterviewSolutions

Prove that 8sqrt(5) is irrational.
A point C is said to lie between the points A and B if
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that ( i ) triangle ABE ~= triangle ACF (ii) AB = AC i.e ABC is an isoceles triangle
(a) (i) By takingany twoirrational numbers,prove that their sumis arational number. (ii) By takingany twoirrational numbers, prove that their difference is a rational number. (b) Insert in between1/7 and 2/7 (i)a rational number : (ii) an irrational number.
Find the mean of all prime numbers between 20 and 50.
The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find the length of the equal sides.
If A=60^(@), verify that : (i) sin^(2)A+cos^(2)A=1"(ii) "sec^(2)A-tan^(2)A=1
Construct a DeltaABC whose perimeter is 10.5 cm and the base angles are 60^(@) and 45^(@).
Draw an angle of 80^(@) with the help of protractor . Then, construct angles of (i) 40^(@) (ii) 160^(@) and (iii) 120^(@) .
Water is pouring into a conical vessel of diameter 5.2m. And slant height 6.8 m(as shown in the adjoining ) , at the rate of 1.8 m^(3)per minute .How long will it take to fill the vessel?