Respuesta :
Answer:
Hypotenuse = 45 inches
Step-by-step explanation:
Let the hypotenuse be known as "C".
Definition of hypotenuse:
The hypotenuse is the longest side in a right triangle.
Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.
Pythogoras theorem
- x² = y² + z²
[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].
We are given that:
- Leg A = y = 27 inches
- Leg B = z = 36 inches
- Hypotenuse = x = C inches
When the meausures are substituted in the formula, we get;
- ⇒ (C)² = (27)² + (36)²
Evaluate the squares on the right hand side:
- ⇒ (C)² = (27)² + (36)²
- ⇒ (C)² = 729 + 1296
Simplify the expression on the right hand side:
- ⇒ (C)² = 729 + 1296
- ⇒ (C)² = 2025
Take square root both sides of the equation:
- ⇒ √(C)² = √2025
- ⇒ C = 45 inches
Therefore, the measure of the hypotenuse is 45 inches.
Learn more about Pythogoras theorem: https://brainly.com/question/19859661
