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For the following right triangle, find the side length .

For The Following Right Triangle Find The Side Length class=

Sagot :

Answer:

x = 25

Step-by-step explanation:

Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)

If we substitute the side lengths for the question in a²+b²=c², you'll get

20²+15²=x²

Simplifying the numbers and squaring them, you get

400+225=625²

Since you want the value of the x side, you'll need to root 625.

√625=25

Therefore, x = 25

thedoritoamigo

Answer:

x = 25

Step-by-step explanation:

To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.

Plug in our values for a and b and solve for x.

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

[tex]20^2+15^2=c^2[/tex]

[tex]400+225=c^2[/tex]

[tex]625=c^2[/tex]

[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]

[tex]25=c[/tex]

c, or x is equal to 25. The missing sidelength is 25 units.

Good luck ^^

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