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)
Answer:
y = 15/4x - 11/4
Step-by-step explanation:
Answer:
(c) Triangle Z Y X is similar to triangle C B A
Step-by-step explanation:
Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.
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<h3>corresponding sides</h3>
The side lengths, smallest to largest, for the two triangles are ...
- 3 cm -- ZY
- 6 cm -- YX
- 7 cm -- XZ
And for the other triangle, ...
- 6 cm -- BC
- 12 cm -- AB
- 14 cm -- AC
<h3>corresponding vertices</h3>
The points joining the each side to the next one longer, in order for the two triangles, are ...
Y, X, Z and B, A, C
The vertices corresponding to ZYX in the same order are CBA.
triangle ZYX is similar to triangle CBA
