Question

In the given figure, find the side of the largest square that can be inscribed in the triangle.
(AB = a, BC = b.)
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Class Xth - Maths (Triangles)​

Answer 1

Answer:

In the given figure,

the side of the largest square that can be inscribed in the triangle.

(AB = a, BC = b.)

_______

Class Xth - Maths (Triangles)

Answer 2

Given :-

• $\sf BY = p = BZ =$ length of square
• AB = a
• BC = b

To Find :-

• find the side of the largest square

Solution :-

• $\sf BY = p = BZ =$ length of square

• $\sf So,\: \: AY = AB - YZ$

• $\sf AY = a - p$

• $\sf \frac{AY}{AB} = \frac{BZ}{BC}$

• $\sf \frac {a-p}{a} = \frac{p}{b}$

• $\sf b(a - p) = ap$

• $\sf ab - bp = ap$

• $\sf ab = ap + bp$

• $\sf ab = p (a + b)$

• $\sf \frac{ab}{(a+b)} = p$

• $\sf \red{p = \frac{ab}{a+b}}$

I hope it helps you ❤️✔️