Question

How do I do theses problems?I don’t understand geometry at all

Answer 1

1. Triangle A

The length of the hypothenuse of triangle A is missing. To find this length you have to apply the Pythagorean Theorem, which states that the square of the hypothenuse is equal to the sum of the lengths of the legs of the triangle:

`a^2+b^2=c^2`

Where

a and b represent the lengths of the legs of the triangle.

c represents the length of the hypothenuse

For triangle A, you know the length of both legs, a= 4 units and b= 3 units, replace these values in the expression above to find the length of the hypothenuse:

`\begin{gathered} a^2+b^2=c^2 \\ 4^2+3^2=c^2 \end{gathered}`

-Solve the squares:

`16+9=c^2`

-Simplify:

`25=c^2`

-Apply the square roots to both sides:

`\begin{gathered} \sqrt[]{25}=\sqrt[]{c^2} \\ 5=c \end{gathered}`

The length of the hypothenuse is 5 units.