Question

Use the Pythagorean’s theorem to calculate the length of the hypotenuse of a right triangle with 17 as the length and 15 as the width

Answer 1

Answer:

$\huge\boxed{\text{Around\ \ } 23}$

Step-by-step explanation:

The Pythagorean Theorem states that

$a^2 + b^2 = c^2$

Where $a$ is one leg of the triangle, $b$ is the other, and $c$ is the hypotenuse.

Since we know the legs and we need to find the hypotenuse $c$, we can substitute inside the equation with the values 15 and 17.

$15^2 + 17^2 = c^2\\\\225+289 = c^2\\\\514 = c^2\\\\c = \sqrt{514}\\\\c \approx 23$

Hope this helped!

Answer 2

Answer:

Hypotenuse = 22.67

Step-by-step explanation:

$a^2 + b^2 = c ^2$

a = One Leg

b = Another Leg

c = Hypotenuse

$17^{2} + 15^{2} = c^2$

289 + 225 = $c^2$

514 = $c^2$

$\sqrt{514} = c$

c = 22.67