Answer :

The value of k to the nearest tenth in the diagram below is 5.8

What is Pythagoras theorem?

Pythagoras theorem states that the square of the hypotenuse of a triangle is equivalent to the sum of the square of other two sides.

Since a right triangle has 3 sides, hence the sides can be a, b and c

where

  • c is the hypotenuse
  • a and b are other two sides

Given the following parameters

c = k

a = 3

b = 5

According to the theorem

c² = a² + b²

k² = 3²  + 5²

k² =9 + 25

k = √34

k = 5.8

Hence the value of k to the nearest tenth in the diagram below is 5.8

Learn more on pythagoras theorem here: https://brainly.com/question/343682

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