A Nice Problem for the Area of Triangle

In this video, we tackle an intriguing geometry problem involving a right triangle. Given that the hypotenuse is of 89 units and the perimeter of the triangle is 208 units, we embark on a journey to calculate the area of the triangle. Join us as we apply fundamental geometric principles and problem-solving techniques to unravel the mystery of this triangle's area. Whether you're a math enthusiast, student, or educator, this problem offers a stimulating challenge to exercise your geometric prowess. Watch now and discover the elegant solution to this intriguing puzzle!
#amsmath #math #shortsfeed #geometry #mathematics #puzzle #area #algebra #shadedarea

[@jeffw1267]

I recognized this as the Pythagorean triple 39-80-89, and those three side lengths do add up to 208.

[@AMSMath]

You are right. Thanks for the comment.

[@Antony_V]

AB=a, BC=b, A=area triangle ABC (a+b)=119, (a^2+b^2)=89^2=7921 4A=2ab=(a+b)^2-(a^2+b^2)=6240 --> A=1560 squ

[@AMSMath]

Thanks for your comment