contestada

denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long , in feet , should the third piece of wood be for denesh to create a right triangle?

Respuesta :

clairebear11213
This is a problem that uses the Pythagorean Theorem.
[tex]a = \sqrt{ {b}^{2} + {c}^{2} } \\ a = \sqrt{ {7}^{2} + {24}^{2} } \\ a = \sqrt{49 + 576} \\ a = \sqrt{625} \\ a = 25[/tex]
The hypotenuse is 25 feet.
Ver imagen clairebear11213

Answer:

The third piece of wood that for denesh need to create to form a right triangle is:

                              25 feet.

Step-by-step explanation:

We are given two shorter legs of a wood of lengths as:

          7 feet and 24 feet.

We know that in a right angled triangle with two shorter sides as a and b the longer length or the hypotenuse of the triangle of length c is given by Pythagorean Theorem as:

                        [tex]c^2=a^2+b^2[/tex]

We have:

a=7 and b=24

Hence,

[tex]c^2=7^2+(24)^2\\\\\\c^2=49+576\\\\\\c^2=625\\\\\\c=25[/tex]

      Hence, the length of the third piece of wood should be:

                             25 feet.

Otras preguntas