Question

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Answer 1

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

Answer 2

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,

$\implies$ 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

$:\implies\sf{c = 15 \sqrt{2} \times \sqrt{2} }$

$:\implies\sf{c = 15 \times \sqrt{2} \times \sqrt{2} }$

$:\implies\sf{c = 15 \times 2}$

$:\implies\sf{c = 30}$

• The length of hypotenuse is 30cm.