Answer with explanation:
→The Triangles whose Angle measurements are 30°-60°-90° is called Right triangle as one of the angle have measurement equal to 90°.
→For these kind of triangles , a set of pattern is followed by the sides which is called Pythagorean triplet.
→ The Pythagorean triplet is
m²-1,2 m, m²+1, where m can take any real value.
For example , take , m=3
→m²-1=3²-1=9-1=8
→2 m=2×3=6
→m²+1=3²+1=10
You must be thinking what is Pythagorean triplet .In a right triangle longest side is called Hypotenuse ,and smaller two sides are called Altitude and base respectively or vice versa.The rule followed by sides of triangle is
⇒(Hypotenuse)²=(Altitude)²+(Base)²
As you can see that numbers which follow Pythagorean Triplet is
⇒(m²+1)²=(2 m)² +(m²-1)²
As explained in the example
→10²=8²+6²
