Construct triangle abc such that angle Ab is 9cm, angle bac is 6o degrees and angle abc is 45 degrees number 1.measure length ab
To construct triangle ABC, we need to measure the length of AB.
Given that angle BAC is 60 degrees and angle ABC is 45 degrees, we can use the law of sines to find the length of side AB.
Using the formula:
AB/sin(angle BAC) = BC/sin(angle ABC)
Plugging in the values:
AB/sin(60 degrees) = BC/sin(45 degrees)
AB/sqrt(3)/2 = BC/sqrt(2)/2
Simplifying further:
AB/sqrt(3) = BC/sqrt(2)
AB = (BC × sqrt(3))/sqrt(2)
As we do not have the length of BC given, we cannot accurately measure the length of AB without more information about the triangle.