Question

the perimeter of right triangle is 60 CM. it's hypotenuse is 25cm find the area of triangle​

Answer 1

Answer:

Area=150 cm²

Step-by-step explanation:

let length be l and breadth be b

l+b+25=60

=>l=35-b

l²+b²=25²(By Pythagoras theorem)

=>(35-b)²+b²=625

=>2b²-70b+600=0

=>(b-20)(2b-30)=0. (By quadratic equations)

In first case,

b=20 cm and l=35-20=15 cm

Area=1/2×20×15=150 cm²

In second case,

b=15 cm and l=35-15=20 cm

Area=1/2×15×20=150 cm²

In both cases, area is same.

Hence, area=150 cm²