Answer:
unit
Step-by-step explanation:
Since Here Δ ABC is a isosceles triangle.
Also,
and
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](https://tex.z-dn.net/?f=AH%5E2%20%3D%20HD%5E2%20%2B%20AD%5E2)
⇒ ![AH^2 = a^2 +b^2](https://tex.z-dn.net/?f=AH%5E2%20%3D%20a%5E2%20%2Bb%5E2)
⇒ ![AH = \sqrt{a^2+b^2}](https://tex.z-dn.net/?f=AH%20%3D%20%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
Since, the perimeter of a triangle = sum of the all sides of the triangle.
Therefore, perimeter of ΔADH = AD + DH + AH
=
unit