The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft

Answer:
c = 10 feet.
Step-by-step explanation:
c^2 = a^2 + b^2 (By the Pythagoras Theorem)
c^2 = 6^2 + 8^2 = 100
c + sqrt 100 = 10.
The value of the third side will be c = 10 feet.
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the two sides of the right single triangle are a = 6 and b = 8. Then the value of the third side will be calculated as:-
c² = a² + b² (By the Pythagoras Theorem)
c² = 6²+ 8² = 100
c = √100 = 10.
Therefore, the value of the third side will be c = 10 feet.
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