Question

in an isosceles triangle ABC, AB= AC and AD, ND, CF are perpendicular to its side BC, AC and AB respectively. The triangle is symmetrical to which line?

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Answer 1

Answer:

⇒ It is given that in △ABC, AB=AC.

∴ △ABC is an Isosceles triangle.

⇒ And in isosceles triangle line of symmetry is one.

⇒ AD⊥BC, AD divides △ABC equally.

∴ △ABC is symmetrical about AD.

Answer 2

⇒ It is given that in △ABC, AB=AC.

∴ △ABC is an Isosceles triangle.

⇒ And in isosceles triangle line of symmetry is one.

⇒ AD⊥BC, AD divides △ABC equally.

∴ △ABC is symmetrical about AD.