Question

© The length of the hypotenuse of an isosceles right triangle with Area 72cm² is: ​

Answer 1

$Area \: of \: triangle \: is \: \frac{1}{2} \times \: base \: \times \: height$

$\therefore\:{74 \: cm}^{2}=\:\frac{1}{2}\timesx\times x\:\:/tex]</p><p>[tex]74 = { \frac{x}{2} }^{2}$

${x}^{2} = 74 \times 2$

$\huge{x = {158}^{ \frac{1}{2} } }$

$x \: = \: - 12.5698$

$But \:the\:sign\: can't\:be\: negative$

$\therefore \: x = + 12.5698$

$Hypotenuse\:=\:12.5698 \times 12.5698$

$Hypotenuse\:=\:158$

Answer 2

Answer:

The square of the hypotenuse of an isosceles right triangle is 72 sq. m.What is the length of each equal side?