Respuesta :
The hypotenuse is 10√2.
What is Pythagoras theorem?
The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
Given:
perpendicular= 10 units, base= 10 units
Using Pythagoras theorem,
H²= P²+ B²
H² = 10² + 10²
H² = 100 + 100
H² = 200
H= √200
H= 10√2 units
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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