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.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

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step-by-step explanation:

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