Right Triangle Relationships and Perimeter

The video tutorial explains how to solve a geometry problem involving a right triangle with a perimeter of 30 cm. The hypotenuse is one more than the long leg, and three times the short leg is three greater than the long leg. The tutorial guides through setting up equations based on these conditions, solving them using substitution, and verifying the solution to ensure it meets all problem requirements.

What is the total perimeter of the right triangle described in the problem?

• 30 cm

• 25 cm

• 40 cm

• 35 cm

If the hypotenuse is one more than the long leg, which equation represents this relationship?

• C = B - 1

• C = B + 1

• C = A - 1

• C = A + 1

How is the short leg related to the long leg in the problem?

• 3 times the short leg is 3 less than the long leg

• 3 times the short leg is equal to the long leg

• 3 times the short leg is 3 times the long leg

• 3 times the short leg is 3 more than the long leg

Which equation represents the perimeter of the triangle?

• A + B + C = 25

• A + B + C = 40

• A + B + C = 30

• A + B + C = 35

What method is suggested for solving the system of equations?

• Graphing

• Matrix

• Substitution

• Elimination

What is the value of C if C = B + 1 and B is found to be 12?

• 11

• 14

• 12

• 13

If A is found to be 5, what is the value of 3A?

• 10

• 12

• 15

• 18

What is the length of the short leg if it is found to be 5 cm?

• 5 cm

• 3 cm

• 6 cm

• 4 cm

What is the length of the long leg if it is found to be 12 cm?

• 10 cm

• 11 cm

• 13 cm

• 12 cm

What is the length of the hypotenuse if it is found to be 13 cm?

• 14 cm

• 11 cm

• 13 cm

• 12 cm