Answer:
A = 98 sq. meters
Step-by-step explanation:
angle in a 45 - 45 - 90 right triangle the hypotenuse = leg([tex]\sqrt{2}[/tex] ).
So hypotenuse is opposite the 90° angle = 14[tex]\sqrt{2}[/tex]
hypotenuse = leg([tex]\sqrt{2}[/tex] )
14[tex]\sqrt{2}[/tex] = x([tex]\sqrt{2}[/tex] )
14[tex]\sqrt{2}[/tex] / [tex]\sqrt{2}[/tex] = x
14 = x
or
a² + b² = c²
x² + x² = (14[tex]\sqrt{2}[/tex] )² Both of the legs in this type of triangle are =
2x² = 196 ([tex]\sqrt{4}[/tex] )
2x² = 196(2)
2x² = 392
x² = 196
x = [tex]\sqrt{196}[/tex]
x = 14
A = 1/2bh
A = .5(14)(14)
A = 98 sq. meters
