To the nearest hundredth of a centimeter, what is the length of a leg of the triangle? [1] cm 84.6 cm

The length of a leg of the triangle = 59.83 cm

Step-by-step explanation:

Points to remember

If a right angled triangle with angles 45°, 45° and 90° then the sides are in ratio 1 : 1 : √2

It is given a right angled triangle with  45°, 45° and 90° and hypotenuse = 84.6 cm

To find the length of a leg

Let 'x' be the length of each leg,

From the figure we can write,

1: 1 :  √2 = x : x : 84.6

Therefore x = 84.6/√2

 = 59.83 cm

Therefore the length of a leg of the triangle = 59.83 cm

ANSWER

59.82

EXPLANATION

The given right angle is an isosceles right triangle.

Let the length of a leg be x cm.

Then by the Pythagoras Theorem,

Divide both sides by 2.

Take positive square root of both sides to get,

Hence the length of a leg is 59.82 to the nearest hundredth.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: