How do you solve a SSA triangle?

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

5 0

Since sin(100)/5 is equivalent to sinA/9, then:
$sinA = \frac{9sin(100)}{5}$
$A = sin^{-1}(\frac{9sin(100)}{5}$

Type that into your calc to find A.

Repeat this process with C.

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Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement ${}$ Reason

S1. Line m is parallel to line n ${}$ R1. Given

S2. ∠1 ≅ ∠2 ${}$ R2. Vertically opposite angles

S3. m∠1 ≅ m∠2 ${}$ R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear ${}$ R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 ${}$ R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180° ${}$ Definition of supplementary angles

S7. m∠1 + m∠3 = 180° ${}$ Substitution Property of Equality

S8. ∠1 is supplementary to ∠3 ${}$ Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation: