## Geometry: Common Core (15th Edition)

96 $in^{2}$
Find the length of the other diagonal by using the Pythagorean Theorem. $a^{2}$+$b^{2}$=$c^{2}$ $8^{2}$+$b^{2}$=$10^{2}$ 64 + $b^{2}$=100 $b^{2}$=36 b=6 The diagonal is twice this length. 6x2=12 We use the formula for the area of a rhombus to obtain: A=$\frac{1}{2}$($d_{1}$)($d_{2}$) A=$\frac{1}{2}$(12)(16) A=96