Step-by-step explanation:
first of all, as the sum of all angles in a triangle is always 180°, the missing angle B is
B = 180 - 89 - 30 = 61°
the law of sine is
a/sin(A) = b/sin(B) = c/sin(C)
where the sides are always opposite of the associated angles.
14/sin(61) = AB/sin(30) = BC/sin(89)
BC = 14×sin(89)/sin(61) = 16.00451901...
so, 16 is the correct answer.
Answer:
137/1000
Step-by-step explanation:
1/2a - 7 + 1/2a = 1/3
1/2a + 1/2a = 1/3 + 7
2/2a = (1 + 21)/3
a = 22/3
You divide to get the answer
Answer: 49 cm² and 16 cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter os 4:7, then the areas are in the following ratio:

2. You know that the sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

3. The area of the smaller triangle is:
