Area of a triangle is,
[tex] a = \frac{1}{2} ( bh)[/tex]
Substitute the numbers,
[tex]210 = \frac{1}{2} (35 \times x)[/tex]
[tex]x = 12[/tex]
The above number is the base.
Using the pythagorean method let's calculate for "c" the hypotenuse.
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
Substitute
[tex]c = \sqrt{ {35}^{2} + {12}^{2} } [/tex]
Solve,
[tex]c = \sqrt{1225 + 144} [/tex]
Simplify,
[tex] c = \sqrt{1369} [/tex]
Calculate one last time,
[tex]c = {37} [/tex]
The hypotenuse is 37 inches.
