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Sagot :
Answer:
- 30 units
Step-by-step explanation:
The ratio of sides in 45º-45º-90º triangle is:
- a : b : c = 1 : 1 : √2
If both a and b are 15√2, the hypotenuse is:
- c = 15√2*√2 = 15*2 = 30
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.

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