Respuesta :

Answer:

√136 units

Step-by-step explanation:

We are given that;

  • The provided triangle is a right triangle.
  • The measure of the legs are 6 and 10 units.
  • The hypotenuse of the right triangle is x units.

Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.

What is the pythogoras theorem and it's formula?

Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;

  • Two side lengths (Legs)
  • A hypotenuse (Longest side)

Pythogoras theorem is denoted as;

  • (c)² = (b)² + (a)²

Where, "c" is the hypotenuse; "b" and "a" are the legs.

When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;

  • (x)² = (10)² + (6)²

Now, let's simplify the equation to determine the value of "x".

  • ⇒ (x)² = 100 + 36                                       [Evaluating the squares]
  • ⇒ (x)² = 136                                         [Simplifying the right-hand-side]
  • ⇒ √(x)² = √136                                    [Taking square root both sides]
  • ⇒ x = √136 ≈ 11.66 units (2 d.p)       [Taking square root both sides]

The measure of the missing side is √136 units.

Learn more aobut pythogoras theorem: https://brainly.com/question/14056085

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