Right triangle, find the missing length to the nearest tenth.

8 ft

19 ft

a.

6.7 ft

b.

20.6 ft

c.

4.7 ft

d.

17.2 ft

17.2 ft or 20.6 ft

Step-by-step explanation;

We are given;

two edges of a right triangle;

8 ft and 19 ft

We are required to determine the missing length;

We are going to consider two options because we are not given descriptions of the edges given;

Option 1;

Assuming the edges given are both the legs of the triangle;

Therefore, using Pythagoras theorem;

a² + b² = c², where a and b are the legs of the triangle and c is the hypotenuse.

Thus;

c² = 8² + 19²

= 425

c = √425

= 20.62

= 20.6 ft

Option 2;

Assuming that the edges given are a leg and the hypotenuse of the right triangle;

Therefore, c = 19 ft and a = 8 ft

Using Pythagoras theorem;

c² = b² + a²

Rearranging the formula;

b² = c² - a²

= 297

b = √297

= 17.23

= 17.2 ft

Therefore, the missing length of the right triangle is either 17.2 ft or 20.6 ft