Question

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 32 m; hypotenuse: 38 m

26.8 m

20.5 m

49.7 m

26.6 m

Answer 1

Use the Pythagorean theorem.

$32^{2} + x^{2} = 38^{2} \\ 1024 + x^{2} = 1444 \\ x^{2} = 420 \\ \sqrt{ x^{2} } = \sqrt{420} \\ x = 20.493...$
The answer would be B.

Answer 2

The length of the third side of the triangle is found to be 20.5 m to the nearest tenth.

To calculate the third side which is the perpendicular of the triangle, Pythagorean Theorem is used.

Pythagorean Theorem

What is Pythagorean Theorem?

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).

What is hypotenuse?

The side that forms a right angle with the triangle base is called perpendicular.

How to find Perpendicular?

To calculate the perpendicular, consider the Pythagorean formula

$H^{2} =B^{2} +P^{2}$

So,

$P^{2}=H^{2} -B^{2}$

Where,

H = hypotenuse

B = base of the triangle

P = perpendicular

Calculation of the third side (perpendicular):

Let the base be B = 32 m.

Hypotenuse, H = 38 m

$P^{2} =38^{2} -32^{2}$

$P^{2} =420$

$P=20.49$

P = 20.5 m

Therefore, the third side (perpendicular) of the right triangle is found to be 20.5 m.

To know more about "types of triangles", here

https://brainly.com/question/1058720

#SPJ2