This is the formula of finding the hypotenuse: a² + b² = c².
So the legs would be a and b.
4² + 4² = c²
c² = 16 + 16
c² = 32
c = √32 (Option C)
Answer:
Option C is correct.
Hypotenuse of a right triangle is, [tex]\sqrt{32}[/tex] units.
Step-by-step explanation:
Given : In a right angle triangle if each of the two legs is 4 units.
The hypotenuse is always opposite to the right angle and it is always the longest side of the triangle.
to find the hypotenuse of the right angle triangle.
We use Pythagoras theorem in right angle triangle;
Pythagoras theorem states that the square of the hypotenuse (the side opposite to the right angle) is always equal to the sum of the squares of the other two sides.
i.e, [tex]a^2+b^2 =c^2[/tex] where a , b are the two legs and c is the hypotenuse of the right angle triangle.
Since, it is given a = b = 4 units
then; by definition of Pythagoras theorem, to solve for c;
[tex]c^2 = 4^2+4^2[/tex]
or
[tex]c^2 = 16+16 = 32[/tex]
Simplify:
[tex]c = \sqrt{32}[/tex] units.
Therefore, the hypotenuse of the right angle triangles is, [tex] \sqrt{32}[/tex] units.
