Question

Find the value of x in the triangle shown below.х56

Answer 1

Step 1:

The triangle under consideration is a right angle triangle and to find one of the sides we need to appeal to the concept of the Pythagorean theorem.

Let's quickly remind ourselves of what the Pythagorean theorem is.

Step 2:

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

Step 3:

From the given question, the hypotenuse is x, while we can take the opposite side to be 5 and the adjacent as 6.

Step 4:

Substituting the values in step 3;

`\begin{gathered} \text{Hypotenuse}^2=Opposite^2+Adjacent^2^{} \\ x^2=5^2+6^2 \\ x^2\text{ = 25 + 36} \\ x^2\text{ = 61} \\ \text{Taking the square root of both sides.} \\ x\text{ = }\sqrt[]{61}\text{ or 7.81} \end{gathered}`

CONCLUSION:

The value of x in the given triangle is