Answer:
25 units
Explanation:
Since this triangle is a right triangle, we can use pythogoras theorem to calculate the unknown side length (x). The pythogoras theorem states that the (longest side)² is equivalent to (Side)² + (Side)².
Let the longest side be "c" and the other side lengths be "a and b".
⇒ Pythogoras theorem formula: c² = b² + a²
If this statement is proven false, then the triangle shown is not a right triangle. Now, let's use the formula to determine the missing side length.
Let "c" be "x" and the other side lengths be "7 and 24 (as stated in image)"
- ⇒ c² = b² + a²
- ⇒ x² = 7² + 24²
SImplify both sides as needed.
- ⇒ x² = 49 + 576
- ⇒ x² = 625
Take square root both sides as needed.
- ⇒ √x² = √625
- ⇒ x = 25 units
The measure of x is 25 units.