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  1. In the given figure, AB = AC and BD = EC then prove that ΔADE is an isosceles triangle. View Solution. Q 3. In the given figure , ABC is an isosceles triangle in which AB = AC. E is point on the side CB produced such that FE ⊥ AC . If AD ⊥ CB. Prove that : AE × EF = AD × EC. View Solution. Q 4.

  2. Question 88. Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

  3. A triangle with three equal sides is called as? Answer: Equilateral triangle. Question 3: What are the 7 types of triangles? Answer: The seven types of triangles that exist in the math are equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene. Question 4: What are the properties of a ...

  4. Drawn an isosceles triangle. Locate its centroide, orthocentre, circumcentre and incentre. Verify that they are collinear.

  5. Construct an isosceles triangle whose base is of length 4 cm and the vertex angle is equal to 30 ∘. Draw a perpendicular from the vertex to the base. View Solution

  6. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. The area of the triangle is sq cm.

  7. If the isosceles triangle has a right angle, then such a triangle is called as a right isosceles triangle. A right isosceles triangle has a right angle and two 45° angles. Right angles are shown by a square at a line intersection rather than a curve. Scalene Triangle. When it comes to a scalene triangle, all side lengths have different measures.

  8. Since A B C is isosceles and P is the mid-point of B C. Therefore, A P ⊥ B C as median from the vertex in an isosceles triangle is perpendicular to the base. Let A P = x and P B = C P = y .

  9. An unequal side of an isosceles triangle is 24 cm and its area is 60cm 2 find the perimeter of isosceles triangle .

  10. In fig 4.37 AB is a chord of a circle with centre O. Diameter CD is perpendicular to AB intersecting it at E. Show that ABC is isosceles.

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