The Triangle

The side lengths are multiples of $29.$ In fact, $87 = 3\times 29$ and $116 = 4\times 29.$ So this triangle is a multiple of the famous $3-4-5$ triangle and the hypotenuse is $5\times 29 = 145$

Hey yo,

As c = hypotenuse, b = 1st leg , a = 2nd leg,

c^2 = a ^ 2 + b^2 , applying phythagoras theorem...

Using pythagoras' theorem, hypotenuse = $\sqrt{{87}^2 + {116}^2} = \sqrt{21025} = \color{#69047E}{\boxed{145}}$ .

Anyone can solve it. But it matters in how much time you soved it⏰