Question

If the hypotenuse of an isosceles right triangle is 10, what is the length of one leg?

a) 3 square root of 2
b) 5 square root of 2
c) 5
d) 7 square root of 2

Answer 1

theres a trigonometry solution,a geometric solution and a pythagoras solution..
pythagoras is quite easy,,use it ..
since its isosceles,,and hypotenuse cant be equal to any other side,,we have
x^2 + x^2 = 10^2 ..guess its easy now ?

Answer 2

i still dont get it. sorry

Answer 3

oh wait is it: letter b?

Answer 4

let the unknown side be x .. now since its isosceles triangle,,and the hypotenuse has to be the greatest side among all the sides,,we have base = altitude =x ..
now using pythagoras theorem,,we get the eqn which i wrote..

Answer 5

yes its "b"

Answer 6

ok. is it 5^2?

Answer 7

not 5^2 but 5 sqrt(2)