Answer:
Using Pythagoras theorem.
In any right angle triangle:
\(\text{Hypotenuse side}^2 = \text{Sum of the square of side}\)
As per the statement:
For the values a = 3.4 and b = 2.6, which are legs of a right triangle.
We have to find c, the hypotenuse:
Apply the Pythagoras theorem, we have;
\(c^2 = a^2+b^2\)
Substitute the values we have;
\(c^2=3.4^2+2.6^2 = 11.56+6.76 = 18.32\)
then;
\(c=\sqrt{18.32} = 4.28018691\)
Therefore, the value of c, the hypotenuse, to the nearest tenth is, 4.3 units
