MATHEMATICS HIGH SCHOOL

In a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units. What is the length of the hypotenuse (hint: use Pythagorean Theorem)?

Answers

Answer 1
Answer:

The length of the hypotenuse of given right triangle is 9.2 units.

Given that, in a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angledtriangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the length of the hypotenuse be x.

Now, using Pythagoras theorem, we get

x²=6²+7²

⇒x²=36+49

⇒x²=85

⇒x=√85

⇒x=9.2 units

Therefore, the length of the hypotenuse of given right triangle is 9.2 units.

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Answer 2
Answer: hypotenuse = √(6^2+8^2)= √(36+64)= √(100)=10 \ units

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Answers

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