NacariF713824 NacariF713824
  • 03-11-2022
  • Mathematics
contestada

What's the length of the hypotenuse of a right triangle if the length of one leg is 7 units and the length of the other leg is 14 units?

Respuesta :

AdriannJ212360 AdriannJ212360
  • 03-11-2022

ANSWER:

The hypotenuse is

[tex]7\sqrt[]{5}=15.65[/tex]

STEP-BY-STEP EXPLANATION:

In this case we can calculate the value of the hypotenuse by means of the Pythagorean theorem.

[tex]\begin{gathered} h^2=a^2+b^2 \\ a=7 \\ b=14 \end{gathered}[/tex]

replacing

[tex]\begin{gathered} h^2=7^2+14^2 \\ h^2=49+196 \\ h=\sqrt[]{245} \\ h=7\sqrt[]{5}=15.65 \end{gathered}[/tex]

Answer Link

Otras preguntas

5x-10+12x-14=180 what is x
An object is projected at 25m/s from the top of a building of height 50m. At the same instant,another object is projected from the bottom of the building in the
What motivated Winston Churchill?
The product of alpha decay of the Nobelium isotope 259No is
After buying some marbles for $83.40, Thomas has $17.19 left. how much money did Thomas have to begin with
what number is equivalent to 3^4/3^2​
A piece of equipment was purchased by a company for $15,000 and Is assumed to have a salvage value of $5,000 in 5years. If it’s depreciated linearly from $15,00
How much time would it take to earn $45 simple interest on an investment of $790 if the annual rate of return was 3.4%?
Which term describes the author's attitude toward the subject? A. mood B. diction C. tone D. voice
which roman statesman called for a unity between law and politics so that the political leader is the speaking law and the law a silent magistrate