Answer: 17
Explanation:
We have a right triangle (a triangle with an angle of 90°). To find the value of c (the hypotenuse of the triangle) we use the Pythagorean theorem:
Where a and b are the legs of the triangle and c is the hypotenuse.
In this case, the value of a and b is:
[tex]\begin{gathered} a=8cm \\ b=15cm \end{gathered}[/tex]
Substituting these values into the Pythagorean theorem formula:
[tex]c^2=(8cm)^2+(15cm)^2[/tex]
Solving the operations:
[tex]\begin{gathered} c^2=64cm^2+225cm^2 \\ \downarrow \\ c^2=289cm^2 \end{gathered}[/tex]
Solving for c:
[tex]c=\sqrt[]{289cm^2}[/tex]
the result is:
[tex]c=17cm[/tex]
Answer: 17
