Question

Help please please please-​

Answer 1

The length of side BC (or x) is approximately 9.3 units.

To find the value of x in the given scenario, we can use the properties of triangles. In a right-angled triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. This is known as the Pythagorean theorem.

In this case, we have a right-angled triangle where:

BD = 7.4

DC = 5.6

We want to find the length of side BC, which is opposite the right angle. Let's denote this length as x.

Using the Pythagorean theorem, we can set up the following equation:

`[ BC^2 = BD^2 + DC^2 ]`

Substituting the given values, we get:

`[ x^2 = (7.4)^2 + (5.6)^2 ]`

`[ x^2 = 54.76 + 31.36 ]`

`[ x^2 = 86.12 ]`

Taking the square root of both sides, we find the value of x:

`[ x \approx √(86.12) ]`

`[ x \approx 9.28 ]`

So, the length of side BC (or x) is approximately 9.3 units.