Question

The perimeter of a right angle triangle is 84cm. if
the length of the shortest side is 21 cm then find
the length of its longest
side.​

Answer 1

Answer:

I have attached the answer

Answer 2

let the sides of right angled triangle are AB,BC,AC

AB is the smallest side,AC is longest side

AB=21cm

Given ,

AB+BC+AC=84

AC=84-BC-AB

AC=63-BC

By pythagoras theorem

${ac }^{2} = {bc}^{2} + {ab}^{2}$

${ac}^{2} = {bc}^{2} + 441$

$bc = \sqrt{ {ac}^{2} - 441 }$

put this in (1)

$ac = 63 - \sqrt{ {ac}^{2} - 441 }$

SOLVE FOR AC

U WILL GET THE ANSWER

AC= 35CM