Question

Find the length of the hypotenuse , c, using the Pythagorean theorem (a^2+b^2=c^2) round the nearest tenth if necessary

Answer 1

19.4 units

Explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem,
`a^2 + b^2 = c^2`,

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

`c^2 = (16)^2 + (11)^2`

`c^2 = 256 + 121 = 377`

`c = √(377) = 19.4` (nearest tenth)