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Mathematics
10. Congruent Triangles
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Q7 of 76 Page 11

Find the measure of each angle of an equilateral triangle.

Let ABC is an equilateral triangle

We know that all the angles in an equilateral triangle are equal.


Therefore,


∠A = ∠B = ∠C (i)


Now,


∠A + ∠B + ∠C = 180o (Sum of all angles of a triangle)


∠A + ∠A + ∠A = 180o


3∠A = 180o


∠A =


= 60o


Hence, the measure of each angle of an equilateral triangle is 60o.


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5

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C= 30° and ∠D = 90°. Are two triangles congruent?

6

ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE=CF.

8

CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that Δ ADE ≅ Δ BCE.

9

Prove that the sum of three altitudes of a triangle is less than the sum of its sides.

Questions · 76
10. Congruent Triangles
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