Answer:
x = 39
Step-by-step explanation:
As we can see in the diagram, the triangle is a right-angled triangle, meaning that one of the angles inside the triangle has a measure of 90°.
Whenever we have a right-angled triangle and are given the lengths of two of its sides, and we are asked for the length of the third side, we must use the Pythagorean theorem, which states that:
[tex]\boxed{\mathrm{a^2 + b^2 = c^2}}[/tex],
where:
c = hypotenuse (longest side, opposite to 90° angle)
a, b = the two other sides of the triangle.
In this question, we are asked for the value of x, which is the hypotenuse of the given triangle, while the lengths of the other two sides are 15 and 36.
Therefore, using the Pythagorean theorem, we get:
[tex]15^2 + 36^2 = x^2[/tex]
⇒ [tex]x = \sqrt{36^2 + 15^2}[/tex]
⇒ [tex]x = \sqrt{1296 + 225}[/tex]
⇒ [tex]x = \sqrt{1521}[/tex]
⇒ [tex]x = \bf 39[/tex]
Learn more about the Pythagorean Theorem here:
https://brainly.com/question/26954703
