Answer:
• (a)65
,
• (b)24
Explanation:
The Pythagorean relationship for three sides of a right triangle, a, b, and c where c is the hypotenuse (the slant side) is:
[tex]c^2=a^2+b^2[/tex]
Part C
On the hypotenuse side: c²=90
[tex]\begin{gathered} c^2=a^2+b^2 \\ 90=a^2+25 \\ a^2=90-25 \\ a^2=65\text{ square units} \end{gathered}[/tex]
The unknown area of the square is 65 square units.
Part D
On the hypotenuse side: c²=?
[tex]\begin{gathered} c^2=a^2+b^2 \\ c^2=12+12 \\ c^2=24\text{ square units} \end{gathered}[/tex]
The unknown area of the square is 24 square units.
