Respuesta :
Answer:
The length of hypotenuse is[tex]14\sqrt{2}[/tex]
Step-by-step explanation:
We are given a right angled triangle
We are also given that The length of the hypotenuse is unknown, and the lengths of the other 2 sides are 14 cm and 14 cm
Perpendicular = 14 cm
Base = 14 cm
We are supposed to find hypotenuse
We will use Pythagoras theorem
So, [tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]Hypotenuse ^2 = 14^2+14^2[/tex]
[tex]Hypotenuse = \sqrt{14^2+14^2}[/tex]
[tex]Hypotenuse=14\sqrt{2}[/tex]
Hence The length of hypotenuse is[tex]14\sqrt{2}[/tex]
The length of the hypotenuse is [tex]14\sqrt{2}[/tex] and this can be determined by using the Pythagorean theorem and the given data.
Given :
- A right triangle is given. The other 2 angles are 45 degrees.
- The length of the hypotenuse is unknown, and the lengths of the other 2 sides are 14 and 14.
- Each leg of a 45°-45°-90° triangle measures 14 cm.
The Pythagorean theorem can be used to determine the length of the hypotenuse. The Pythagorean theorem is given by:
[tex]\rm H^2=B^2+P^2[/tex] --- (1)
where H is the Hypotenuse, B is the Base and P is the Perpendicular.
Now, put the values of B and P in the equation (1).
[tex]\rm H^2=14^2+14^2[/tex]
[tex]\rm H = \sqrt{2\times 14 \times 14}[/tex]
[tex]\rm H = 14\sqrt{2}[/tex]
So, the length of the hypotenuse is [tex]14\sqrt{2}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/16426393
