Finding Lengths in Triangles

The video tutorial explains how to find the length of 'a' and 'X' in a triangle using geometric principles. It begins by representing 'a' with a large triangle and applying cross multiplication to solve for 'a'. The same method is then used to find 'X', emphasizing the relationship between the hypotenuse and the triangle's sides.

What is the first step in finding the length of side 'a' in the triangle?

• Find the length of side 'b'

• Identify the short leg

• Calculate the area of the triangle

• Represent 'a' using the large triangle

In the context of the large triangle, what does 'a' represent?

• The short leg

• The long leg

• The base

• The hypotenuse

What is the relationship between 'a' and 'Y' in the triangle?

• 'a' is to 'Y' as 'C' is to 'Y'

• 'a' is to 'Y' as 'a' is to 'C'

• 'a' is to 'Y' as 'Y' is to 'C'

• 'a' is to 'Y' as 'C' is to 'a'

How can you find the length of 'a' using 'Y' and 'C'?

• By adding 'Y' and 'C'

• By subtracting 'Y' from 'C'

• By dividing 'Y' by 'C'

• By finding the geometric mean of 'Y' and 'C'

What is the geometric mean used for in this context?

• To find the area of the triangle

• To find the length of 'a'

• To find the perimeter of the triangle

• To find the length of 'b'

What is the relationship between 'X' and 'B' in the triangle?

• 'X' is to 'B' as 'B' is to 'C'

• 'X' is to 'B' as 'C' is to 'B'

• 'X' is to 'B' as 'B' is to 'X'

• 'X' is to 'B' as 'C' is to 'X'

How do you find the length of 'B' using 'X' and 'C'?

• By finding the geometric mean of 'X' and 'C'

• By dividing 'X' by 'C'

• By subtracting 'X' from 'C'

• By adding 'X' and 'C'

What is the final step in finding the length of 'B'?

• Cross multiply 'B' and 'C'

• Cross multiply 'B' and 'X'

• Cross multiply 'X' and 'C'

• Cross multiply 'B' and 'Y'

Which side is considered the long leg in the context of finding 'X'?

• Side 'B'

• Side 'Y'

• Side 'C'

• Side 'A'

What is the purpose of using cross multiplication in this context?

• To calculate the perimeter

• To determine the type of triangle

• To solve for the length of sides

• To find the area of the triangle