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What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units?

Respuesta :

pattpattdoodlebug

To find the hypotenuse of a right triangle you can use the Pythagorean theorem. (a² + b² = c²) Using the measurements provided we can solve like this.

Both a² & b² = 7²

7 x 7 = 49

49 + 49 = 98

Now we need to find the square root of 98 (c²) to get our answer.

9.9 x 9.9 = 98.01 or about 98

The measurements for the tirangle are 7 units, 7 units, and 9.9 units.

Hope this helps!

alinakincsem

Answer:

9.89 units

Step-by-step explanation:

We are a given a right angles triangle which has side lengths 7 units each (of the perpendicular and the base) and we are supposed to find the length of the hypotenuse.

We can find the length of the hypotenuse by using the Pythagoras Theorem:

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

where [tex]a[/tex] is the hypotenuse and [tex]b[/tex] and [tex]c[/tex] are the perpendicular and base.

[tex]a^2=7^2+7^2\\\\a^2=49+49\\\\a^2=98\\\\\sqrt{a^2} =\sqrt{98} \\\\a=9.89[/tex]

Therefore, the length of the hypotenuse id 9.89 units.

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