Question

The Square of the hypotenuse of a right-angled isosceles triangle is 200m. What is the length of the sides

Answer 1

Answer:

ANSWER

In an isosceles right angled triangle, the two sides on the right angle are equal

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a=a2+a2=2a

In  the isosceles right triangle, the base and height =a

Hence, area of the triangle =21×base×height=

21×a×a=200 sq cm

=>a2=400

=>a=20cm

And the hypotenuse  =2a=202cm

Answer 2

200cm2=12b×h=12b2 ∵ h=b

⇒b=20cm

Once again, 200=12b×h=1220×csin45

200×2×√220=c

c=20√2