Consider the incomplete paragraph proof. given: isosceles right triangle xyz (45°–45°–90° triangle) prove: in a 45°–45°–90° triangle, the hypotenuse is times the length of each leg. because triangle xyz is a right triangle, the side lengths must satisfy the pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. by combining like terms, 2a2 = c2. which final step will prove that the length of the hypotenuse, c, is times the length of each leg? substitute values for a and c into the original pythagorean theorem equation. divide both sides of the equation by two, then determine the principal square root of both sides of the equation. determine the principal square root of both sides of the equation. divide both sides of the equation by 2.

Step-by-step explanation:

In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem that is:

, which in this isosceles triangle becomes as a=b in isosceles triangle.

By combining the like terms,

Now, we will determine the principal square root of both sides of the equation,

(since a is positive)

Divide both sides of the equation by 2, we get

Now, as a=b, then

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.