Question

Find the missing side of this triangle 6 x 10

Answer 1

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: brainly.com/question/14056085