Question

In figure, angleD = angleE and AD/DB = AE/EC
Prove that triangle BAC is isoscelestriangle​

Answer 1

Answer:

Iso means similar

60+60+60=180degree

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case. Wikipedia

Area: ½ × base × height

Perimeter: 2 x (length of the two equal sides) + base of the isosceles triangle

Number of vertices: 3

Number of edges: 3

Step-by-step explanation:

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Answer 2

By thales theoram, if the ratio in which a line devides two sides of a triangle is same then this line is parallel to the third line
=> Since AD/DB = AE/EC , then DE||BC
So angle D = angle B and angle E = angle C
Thus angle B = angle C
Since the base angles are eaual,
AB = AC
Thus ABC is isoceles