Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.
Divide both sides by 2.
The value of a is 2. So the coordinates of triangle ABC are
The area of a triangle is
The area of triangle ABC is
The area of triangle ABC is 102. Therefore the correct option is 1.