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Pani-rosa [81]
3 years ago
6

Given: ∆ABC –iso. ∆, m∠BAC = 120°

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer: P\triangle ADH = (a+b+\sqrt{a^2+b^2} ) unit

Step-by-step explanation:

Since Here Δ ABC is a isosceles triangle.

Also, AH\perp BC and HD\perp AC

Thus, ∠ ADH = 90°

That is, Δ ADH is the right angle triangle.

In which, AD = a unit and HD = b unit

And, By the definition of Pythagoras theorem,

AH^2 = HD^2 + AD^2

⇒ AH^2 = a^2 +b^2

⇒ AH = \sqrt{a^2+b^2}

Since, the perimeter of a triangle = sum of the all sides of the triangle.

Therefore, perimeter of ΔADH = AD + DH + AH

= a + b + \sqrt{a^2+b^2} unit

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