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Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
Substitute the given values into the formula and solve for c:
[tex]\sf \implies 10^2+24^2=c^2[/tex]
[tex]\sf \implies c^2=676[/tex]
[tex]\sf \implies c=\pm\sqrt{676}[/tex]
[tex]\sf \implies c=\pm26[/tex]
Since length is positive, c = 26 only
Answer:
26 units
Step-by-step explanation:
To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.
Formula: h² = x² + y² [h = hypotenuse, x and y = legs]
Legs: 10 units and 24 units (Stated in comments)
Finding the third side of the triangle (h):
⇒ h² = 10² + 24²
Simplify the LHS:
⇒ h² = 100 + 576
⇒ h² = 676
Take a square root both sides:
⇒ √h² = √676
⇒ h = ±26
⇒ h = 26 (Side lengths can never be negative)
Thus, the length of the third side is 26 units.