Question

If hypotenuse of a right angled triangle is 10 meter, then –

• A. Its maximum area is 25 sq. meter
• B. Its minimum area is 25 sq. meter
• C. Its maximum area is 50 sq. meter
• D. ) Its minimum area is 50 sq. meter

Answer 1

Answer: (A)

Its maximum area is 25 sq. meter

Answer 2

x² + y² = 100

A = $\frac { 1 } { 2 }$ xy = $\frac { 1 } { 2 }$ x

= $\frac { 1 } { 2 }$ +

= $\frac { \mathrm { dA } } { \mathrm { dx } }$ = 0 Ž x = $5 \sqrt { 2 }$ at x = $5 \sqrt { 2 }$

< 0 A_max = $\frac { 1 } { 2 }$ (5 $\sqrt { 2 }$ )² = 25