Question

Find the length of the missing side. The triangle is not drawn to scale.

Answer 1

The correct answer is 10 units.

We can use the Pythagorean Theorem to find the length of the missing side, which is the hypotenuse of the triangle. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the other two sides have lengths of 8 units and 6 units . Therefore, we can set up the following equation:

`a^2 + b^2 = c^2`

`8^2 + 6^2 =`
`c^2`

`64 + 36 =`
`c^2`

`100 =`
`c^2`

`c =`
`√(100)`

`c = 10`

Therefore, the length of the missing side is 10 units.

The question probable maybe:

Find the length of the missing side. The triangle is not drawn to scale. If a=8 and b=6 , what is c?

Answer 2

c = 10

Explanation:

To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.

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In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!

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Important words

Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.