Question

wypotenuse
The square of the hypotenuse of an
isosceles right triangle is 200 cm. Find
the length of each side.

NEED STEP BY STEP EXPLANATION ​

Answer 1

Answer:

b=h(isosceles triangle)

hypotenuse is 200cm

1÷2 ×b×h = 200

1÷2× b×b = 200 (b=h)

b=100 cm

length of ine side is 100cm

Answer 2

Step-by-step explanation:

h^2=200cm

In isosceles triangle two sides are equal

thus perpendicular=base

according to Pythagoras theorem

h^2=p^2+b^2

200=p^2+p^2

200=2p^2

200/2=p^2

100=p^2

p=√100

p=10cm

b=10cm(perpendicular=base)

h=√200=10√2cm

thus length of each side is 10cm, 10cm, 10√2cm