Question

For the values a = 3.4 and b = 2.6, which are legs of a right triangle, find c, the hypotenuse, to the nearest tenth.

A. 4.3

B. 2.4

C. 2.2

D. 4.8

Answer 1

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=√(18.32) = 4.28018691`

Therefore, the value of c, the hypotenuse, to the nearest tenth is, 4.3 units

Answer 2

The length of the hypotenuse is 4.3. This is calculated as the square root of 3.4 squared plus 2.6 squared.