Answer:
A
Step-by-step explanation:
Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs
So
x = 9 + 7 = 16
y = √2 * 9^2 = 9√2
Answer:
A
Step-by-step explanation:
Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 9[tex]\sqrt{2}[/tex]
Using the tan ratio in the right triangle and the value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1
adj = 9
Then
x = 9 + 7 = 16
