Question

Calculate the size of side x to 1 decimal
place. Show your working.

Answer 1

Explanation:

Formula: A squared + B squared = C squared

For the first question:

4.2 squared = 17.64

6.1 squared = 37.21

17.64+37.21 = 54.85

C squared = 54.85

The square root of 54.85 = 7.4

So, x = 7.4 m

For the second question:

5.1 squared = 26.01

12.3 squared = 151.29

26.01 + 151.29 = 177.3

C squared = 177.3

The square root of 177.3 = 13.3

So, x = 13.3 m

Hope this helps!

Answer 2

`x=7.4` m and
`x=11.2` m

Explanation:

To do these problems, we will need to use the Pythagorean Theorem.

Recall that it states
`a^2+b^2=c^2`, where c is the longest side, the hypotenuse, of the triangle.

a) We have a triangle with side lengths 4.2 m and 6.1 m. These two sides correspond to a and b in this equation.

Now, we can plug these values into the equation and solve for c, which is x.

`(4.2)^2+(6.1)^2=x^2\\\\17.64+37.21=x^2\\\\x=√(54.85)\\\\x=7.406\\\\x=7.4`

b) We have a triangle with side lengths 5.1 m and 12.3 m. These sides correspond to a and c, so b will be x.

Now, we can plug these values into the equation and solve for x.

`(5.1)^2+x^2=(12.3)^2\\\\26.01+x^2=151.29\\\\x=√(151.29-26.01)\\\\x=√(125.28)\\\\x=11.193\\\\x=11.2`