Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
a) 10 square units
b) 12 square units
c) 14 square units
d) 16 square units

  D)  16 square units

Step-by-step explanation:

The base can be considered to be the line x=-3. The extent of the triangle along that line is from y=-4 to y=4, so is 8 units.

The "height" of the triangle can be considered to be the distance from the vertex at x=-7 to the line at x=-3, so is 4 units.

The area of the triangle is half the product of these measures:

  A = (1/2)bh = (1/2)(8 units)(4 units) = 16 square units

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )