Question

Find the length of the hypotenuse of a 45°- 45°-90° triangle with a leg of 8.

Answer 1

the proportion sides of a 45°- 45°-90° triangle is 1 : 1 : sqrt(2)

Answer 2

so is that the answer or do you have to proportion it according to the equation?

Answer 3

no, that's just a hint...
if given a leg of right isosceles triangle is x, so the length of hypotenusa is xsqrt(2)

Answer 4

so this one would be [8sqrt{2}] ?

Answer 5

yes, correct

Answer 6

ok now i have a nother one that i need help with
A square piece of paper 140 mm on a side is folded in half along a diagonal. The result is a 45° – 45° – 90° triangle. What is the length of the hypotenuse?

Answer 7

do same idea like number 1

Answer 8

so would the sides on this triangle stay the same.. 140mm for the two legs?

Answer 9

yes, it would be a right isosceles triangle...

Answer 10

140sqrt(2) ?

Answer 11

yes

Answer 12

i need to simplify sqrt(200)

Answer 13

sqrt(200) = sqrt(100*2) = sqrt(100) * sqrt(2) = 10sqrt(2)

Answer 14

so simplifying sqrt(20) would be basicly the same as doin that?

Answer 15

yes

Answer 16

ok got it. do you know triangle inequalities too?

Answer 17

i will try it

Answer 18

in triangle PQR line PQ= 7.2 and line QR= 5.2. Which measure cannot be PR?
7,9,11,13

Answer 19

7.2 + 5.2 > 13
12.4 > 13 (a mistake statement)
so, 13 the answer