Question

Find the approximate length of the hypotenuse of a right triangle with leg lengths 8.4cm and 7.6 cm.

Answer 1

Explanation:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Answer 2

11.3

Explanation:

A Right Angled Triangle obeys the Pythagorean Theorem. According to the theorem:

The square of Hypotenuse is equal to sum of squares of both the legs. In equation form we can write this as:

`\textrm{Hypotenuse}^(2)=\textrm{(Leg 1)}^(2)+\textrm{(Leg 2)}^(2)`

We are given the length of the legs to be 8.4 cm and 7.6 cm.

Using these values, we get:

`\textrm{(Hypotenuse)}^(2)=(8.4)^(2)+ (7.6)^(2) \\\\\textrm{(Hypotenuse)}^(2)=128.32`

By taking square root of both sides we can find the length of Hypotenuse.

`\textrm{Hypotenuse}=√(128.32) \\\\ \textrm{Hypotenuse}=11.3`

Therefore, the approximate length of the hypotenuse will be 11.3 cm, rounded of to one decimal place.