Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,

Using this trigonometric ratio for the given triangle, we get





Therefore, the length of AB is 5 units.
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
The answer is in the picture below
Answer:
202.5cm^2
Step-by-step explanation:
P=2l+2w
63=2(9)+2w
63=18+2w
63-18=2w
45=2w
divide both sides by 2
22.5=w
check:
P=2(9)+2(22.5)
=18+45
=63
Area=l×w
=22.5×9
=202.5cm²