16 23 Send clear picture American system wn in the base of t

16, 23 Send clear picture (American system)

wn in the base of the right he length 16 Determine all of the missing lengths in s the bed rise? triangle ABC 4 60 D 10 30° 17 Determine the length of the diagonal of a hat measure :16 cm. tude drawn your cube if its side has a length of 4 units. Write your answer in simplest radical form. 18 Do the numbers 11, 20, and 23 form a Pythagorean Triple? 19 Determine the length of the diagonal of a against a ft from the ach on the swer to square if its area is 256 units2. Write your answer in simplest radical form. A person travels 5 miles north, 2 miles east, I mile north, and finally 4 miles east. How far is the person from the starting point? 20 The side of a square is equal to the length of the diagonal of another square. What is the ratio of the perimeter of the large square to the smaller square? 21 the onally n in the gth of One leg of a right triangle is 7 inches longer than the other. The length of the hypotenuse is 13 inches. Find the lengths of the 2 legs algebraically 22 The length of the hypotenuse of a 30°-60°-90 triangle? V50, 5, and 5. Classify the triangle as right, 23 triangle is 4 V3. What is the area of this 24 The lengths of the side of a triangle are acute, or obtuse.

Solution

Answer to the question is as follows:

Area of triangle is (1/2)*ab, where a = height, b = base

we know that a/sin30 = b/sin60 = c/sin90

a/sin30 = b/sin60 = c/sin90 = 4sqrt(3)/1

b = 6, a = 2sqrt(3)

So, Area = (1/2)*(2sqrt(3))*(6) = 6sqrt(3)