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.
