Question
A point on the hypotenuse of a right triangle is at distances $a$ and $b$ from the sides of the triangle. Show that the minimum length of the hypotenuse is ${({a^{2/3}} + {b^{2/3}})^{3/2}}.$
A point on the hypotenuse of a right triangle is at distances $a$ and $b$ from the sides of the triangle. Show that the minimum length of the hypotenuse is ${({a^{2/3}} + {b^{2/3}})^{3/2}}.$
Refer Practice Questions. Q.No. 59
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Application of Derivatives. Curated by Sachin Sharma. Free for all students.