Respuesta :

dwh2o13
Use the Pythagorean Theorem:  a² + b² = c²

[tex] (\sqrt{10} ) ^{2} +( \sqrt{15} ) ^{2} = c^{2} [/tex]
10 +15 = c²  
25 = c²
5 = c   "c" represents the hypotenuse so your answer is "5"

Answer:

Hypotenuse of the right triangle is √25 unit.

Step-by-step explanation:

Given:

Legs of the right angles triangle are √10 and √15

To find:

Hypotenuse of the right angles triangle.

We are given a right angled triangle,

So we use Pythagoras theorem of the right angles triangle which states that square of the hypotenuse is equal to sum of the square of the legs of the triangle.

⇒ (Hypotenuse)² = (√10)² + (√15)²

(Hypotenuse)² = 10 + 15

(Hypotenuse)² = 25

Hypotenuse = ±√25

Hypotenuse can not be negative .

Therefore, Hypotenuse of the right triangle is √25 unit.

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