Each leg of a 45°- 45°- 90° triangle measures 14 cm. what is the length of the hypotenuse?

19.79 cm

Step-by-step explanation:

1. To solve the exercise you must apply the Pythagorean Theorem as you can see below:

Where a is the hypotenuse and b and c are the legs.

2. Then, you must substitute values:

3. The length of the hypotenuse is 19.79 centimeters.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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