Let's consider the given triangle be ∆ABC. First of all we must know the unique property of triangle 45° - 45° - 90°. In this the ratio of sides of the triangle is given by,
[tex]\implies[/tex] a : b : c = 1 : 1 : √2
Now as per your question elaborating it by placing values of sides in our ∆ABC,
Where,
- c = hypotenuse
- a & b = two sides
[tex]:\implies\sf{c = 15 \sqrt{2} \times \sqrt{2} }[/tex]
[tex]:\implies\sf{c = 15 \times \sqrt{2} \times \sqrt{2} }[/tex]
[tex]:\implies\sf{c = 15 \times 2}[/tex]
[tex]:\implies\sf{c = 30}[/tex]
- The length of hypotenuse is 30cm.
