Question

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

Answer 1

Answer:

11.3

Step-by-step 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.

$\textrm{Hypotenuse}=\sqrt{128.32} \\\\ \textrm{Hypotenuse}=11.3$

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