Need to find the number for a

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03-05-2017
Mathematics

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Need to find the number for a

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Nizux Nizux · Answer 1 · 2017-05-03T17:42:28+02:00

Answer to the first triangle: 15

To solve this we will use the Pythagorean theorem

Pythagorean theorem formula: [tex] a^{2} + b^{2} =c^{2} [/tex]

Lets do the first triangle.

17 is the hypotenuse, so its going to replace c in the formula.

8 is the height and it is going to replace a in the formula.

a is what we are trying to find, so our b in the equation is going to be the unknown.

[tex]8^2 + b^2 = 17^2[/tex]

[tex]64 + b^2 = 289 [/tex]

[tex]b^2 = 289 - 64[/tex]

[tex]b^2 = 225[/tex]

[tex] \sqrt{b^2} = \sqrt{225} [/tex]

[tex]b = 15[/tex]

now we know that the missing length in the first triangle (a) is 15

Can you solve the Other one?

Just comment if you need help on the other one.