Question

What is the approximate height of the hat?

2.93 centimeters, because height = Square root of the difference of 16 and 7.4
4.84 centimeters, because height = Square root of the sum of 16 and 7.4
17.63 centimeters, because height = Square root of the sum of the squares of 16 and 7.4
14.19 centimeters, because height = Square root of the difference of squares of 16 and 7.4

Answer 1

4th option because you use the pythagorean theorem so 16^2 - 7.4^2= 201.24
which equals approx 14.19

Answer 2

Option D.

Explanation:

Pythagoras theorem says in a right angle triangle,

Hypotenuse² = Base² + height²

In this question given dimensions of the triangle are

Hypotenuse = 16 cm

and base = 7.4

Now from the formula

(16)² = (7.4)² + Height²

Height² = (16)² - (7.4)²

Height² = 256 - 54.76

Height = √(201.24)

= 14.19 cm

Therefore, Option D. will be the answer.