Pre-Calculus

posted by Tyson

Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta).


I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding it.

  1. Reiny

    draw a perpendicular from side x to side y, let it be h
    Area of triangle
    = (1/2)base x height
    = (1/2) y h

    but sinØ = h/x
    h = xsinØ

    so area =(1/2) y xsinØ
    = (1/2)xy sinØ

Respond to this Question

First Name

Your Answer

Similar Questions

  1. related rates with work shown

    this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in …
  2. Calculus

    Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle?
  3. math-calc

    Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle?
  4. calculus

    show that the area(A) of an isosceles triangle, whose equal sides are of length s and angle between them is theta, is A=1/2s^2sin theta
  5. geometry

    14. Question says that there is a triangle with a base of x units and height h units and two sides of length 10 units. Answer the following questions: • Draw a representation of this situation (the triangle). • Find a formula for …
  6. Pre-Calculus

    Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta). I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding …
  7. Calculus

    Question 1. A stuntman falls from a hot air balloon that is hovering at a constant altitude,100 feet above a lake. A television camera on shore, 200 feet from a point directly below the balloon,follows his descent. At what rate is …
  8. math

    Hi ! Here is my question: The pythagorean theorem gives the relationships between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle. sin^2(theta) …
  9. trig

    Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle …
  10. Math

    If theta is the smallest angle in a right triangle with side lengths of 3, 4, and 5 units, then what does sin theta equal?

More Similar Questions