The longest side in the right-angled triangle is the side opposite to the right angle which is the hypotenuse and the measure of the hypotenuse is 26 units option (c) is correct.
What is a right-angle triangle?
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have a right-angled triangle the side measures are 10, 26, and 24
According to the Pythagoras theorem:
[tex]\rm (hypotenuse)^2 = (perpendicular)^2+(base)^2[/tex]
If we take:
Perpendicular = 24 units
Base = 10 units
Put in the formula, we get:
(Hypotenuse)² = 24² + 10²
Hypotenuse = √676
Hypotenuse = 26 units.
Thus, the longest side in the right-angled triangle is the side opposite to the right angle which is the hypotenuse and the measure of the hypotenuse is 26 units option (c) is correct.
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