Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
Supplementary angles.
This is because supplementary angles are two angles that add up to 180 degrees, and these two angles would add up to 180 degrees.
Are you supposed to find B?
Answer:
51,040
Step-by-step explanation:
To Prove: ΔEFI ~ Δ GFH
Proof:
When two triangles are similar, their corresponding sides are Proportional and their corresponding interior angles are equal.
Two Triangles can be proven similar by following Similarity Criterion.
1. AA
2.SSS
3.SAS
→∠EFI=∠GFH-------[Vertically Opposite angles]
The Other statement which is needed to prove that triangles EFI and GFH are similar is
Option C:→ ∠E ≅ ∠G
So, Two triangles ΔEFI and Δ GFH are Similar by Angle-Angle(AA) Criterion.