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:
[tex]\textrm{Hypotenuse}^{2}=\textrm{(Leg 1)}^{2}+\textrm{(Leg 2)}^{2}[/tex]
We are given the length of the legs to be 8.4 cm and 7.6 cm.
Using these values, we get:
[tex]\textrm{(Hypotenuse)}^{2}=(8.4)^{2}+ (7.6)^{2} \\\\\textrm{(Hypotenuse)}^{2}=128.32[/tex]
By taking square root of both sides we can find the length of Hypotenuse.
[tex]\textrm{Hypotenuse}=\sqrt{128.32} \\\\ \textrm{Hypotenuse}=11.3[/tex]
Therefore, the approximate length of the hypotenuse will be 11.3 cm, rounded of to one decimal place.
