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11111nata11111 [884]
3 years ago
9

For the following right triangle, find the side length .

Mathematics
2 answers:
STALIN [3.7K]3 years ago
7 0

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

MakcuM [25]3 years ago
7 0

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.

a^2+b^2=c^2

20^2+15^2=c^2

400+225=c^2

625=c^2

\sqrt{625} = \sqrt{c^2}

25=c

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

Good luck ^^

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