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.
<h3>What is the pythogoras theorem and it's formula?</h3>
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;
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;
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
