Question

In the right triangle what is the value of pq

Answer 1

The exercise is solved by applying the Pythagorean Theorem, which is:

 h²= a² + b² 

 h: It is the hypotenuse of the right triangle (the opposite side of the right angle and the longest side of the triangle).

 a and b: They are the legs of the right triangle (the sides that form the right angle).

 You want to find the value of PQ, which is a leg. Then, you have:

 h²= a²+b²

 a²=h²-b²

 a=√(h²-b²)

 Let's substitute the values of the hypotenuse (h) and the other leg (b) of the triangle, into the formula a=√(h²-b²):

 a=√(h²-b²)

 a=√(17²-12²)

 a=12 cm

 What is the value of PQ?

 The answer is: 12 cm