Question

The area of an isosceles right-angle triangle is 50 cm”, find out the perimeter of the triangle?
1. 10(2 + 2 ) cm 2. 12(2 + 12 ) cm 3.11(3 + 12 ) cm 4.13(4 + 2)cm ​

Answer 1

Answer:

a+b+5=12

a+b=7⇒a=7−b...(1)

a2+b2=52

a2+b2=25...(2)

From (1)  and (2)

(7−b)2+b2=25

49+b2−14b+b2=25

2b2−14b+24=0

b2−7b+12=0

(b−4)(b−3)=0

⇒b=4,3

a=7−b⇒a=3,4

Area=21×4×3=6sq. units

Answer 2

Answer:

a+b+5=12 (1)

a+b=7

a=7-b

a2+b2=52

a2+b2=25(2)

From 1 and 2

(7-b)2+b2=25

49+b2-14b+b2=25

2b2-14b+24=0