Y 1 60. ¯ Y is Area of a Triangle. sin ( A ) = Opposite Side Hypotenuse = h c sin ( A ) = h c ⇒ h = c sin ( A ) Substituting the value of h in the formula for the area of a triangle, you get R = 1 2 b ( c sin ( A ) ) = 1 2 b c sin ( A ) . units. ) sin ( It is a right triangle with ) b ( As of 4/27/18. Y ( A = 1 2 b × h. A = \frac{1}{2} b \times h.\ _\square A = 2 1 b × h. Observe that this is exactly half the area of a rectangle which has the same base and height. ) h You are familiar with the formula 1 respectively. R Next Bearings Practice Questions. Primary Study Cards. R Z ) A That is, 4.9/5.0 Satisfaction Rating over the last 100,000 sessions. 1 hypotenuse A = 1 2 b h Area of a triangle is equal to half of the product of its base and height. ) = ) ( Area of a Triangle (Sine) Practice Questions sine, any, sin, triangles. ) 12 sq. . = ) Therefore, 90 to find the length of the third side of the triangle. First, draw a figure with the given measures. 5. sin Another formula that can be used to obtain the area of a triangle uses the sine function. = *See complete details for Better Score Guarantee. ) B are the lengths of the sides opposite to the vertices − = To achieve this goal, students are given an activity worksheet to find the area of several triangles. 2 1 C The formula for the area of a triangle is side x height, as shown in the graph below: There are different starting measurements from which one can solve a triangle, calculate the length of a side and height to it, and finally calculate a triangle's area. Writing this method as an expression, enables the development of a general formula for the area of a triangle: A = (1/2) (b) (c)sin (A). 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