Question

How do i solve this question, anyone help

Answer 1

a.
`√(52)`cm or 7.21cm

b.
`√(170)`cm or 13.04cm

c. x=
`√(136)`cm or 11.66cm, y=
`√(191)`cm or 13.82cm

Explanation:

a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras

`c^2=a^2+b^2\\x^2=6^2+4^2\\x^2=36+16\\x^2=52\\x=√(52)cm \\x=7.21cm`

b. You can use pythagoras again because it's a right-angle triangle

`x^(2) =7^2+11^2\\x^2=170\\x=√(170) cm\\ = 13.04cm`

c. In this question you have to find x and y. We need to find x first using pythagoras

`x^2=6^2+10^2\\x^2=136\\x=√(136)cm \\=11.66cm`

Now that we've found x we can find y using pythagoras but instead of find c, we will find another side

`c^2=a^2+b^2\\19^2=√(170) ^2 + b^2\\361=170+b^2\\361-170=170+b^2-170\\191=b^2\\b=√(191)cm \\=13.82cm`

Hope this helps :)