jboy624
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

find the missing side of this triangle 6 x 10

Find The Missing Side Of This Triangle 6 X 10 class=

Sagot :

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

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.