Answer:
- TR = 3 cm
- SQ = 8 cm
- SR = 5 cm
- ∠PTS = 90°
Explanation:
You want various segment lengths and the central angle in a rhombus with side length 5 cm, one diagonal of length 6 cm, and the other half-diagonal of length 4 cm.
Rhombus
The diagonals of a rhombus are perpendicular bisectors of each other. The central angle(s) is a right angle. The halves of a diagonal are the same length. Of course, all sides of the rhombus are the same length.
- TR = 3 cm . . . . = PR/2
- SQ = 8 cm . . . . = 2×ST
- SR = 5 cm . . . . = QR
- ∠PTS = 90°
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Additional comment
Each triangle in this figure is a 3-4-5 right triangle.
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