Calculate the size of the angle marked P in the right-angled triangle below - Junior Cycle Mathematics - Question 3 - 2015

When reflecting the triangle across the line k, the position of each vertex will change.

• Point L will be reflected to the opposite side of line k.
• The orientation of the triangle remains the same, thus mirroring it appropriately.

The length of the side opposite the angle R in the triangle is 12 m.

Using the Pythagorean theorem:

$c^2 = a^2 + b^2$ Where:

• a = 5 m (one side)
• b = 12 m (the other side)

Calculating the hypotenuse:

$c^2 = 5^2 + 12^2 = 25 + 144 = 169$

Thus,