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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

User Chirlu
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2 Answers

4 votes

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=√(18.32) = 4.28018691

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

User Papa Kojo
by
8.6k points
4 votes
The length of the hypotenuse is 4.3. This is calculated as the square root of 3.4 squared plus 2.6 squared.
User Etaoin
by
8.2k points

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