Question

The side on a clip board appears to be a right triangle. The leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. Is the side of the clip a right triangle?

Answer 1

Yes, it is a right angle triangle

Explanation:

Let leg lengths be y and z

Y = 2mm

Z = 2.1mm

Let x represent hypothenus

X = 2.9mm

To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I.e the square of the hypothenus is equal to the square of both sides(opposite and adjacent)

x² = y² + z²

x² = 2² + 2.1²

x² = 4 + 4.41

x² = 8.41

Take the square root of both sides

x = √(8.41)

x = 2.9mm

Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle