Name the types of the following triangles: |
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm |
(b) \[\Delta ABC\]with \[AB=8.7cm,\]AC = 7 cm and BC = 6 cm |
(c) \[\Delta PQR\]such that PQ = QR = RP = 5 cm |
(d) \[\Delta DEF\]with m\[\angle D\,\,=\,\,90{}^\circ \] |
(e) \[\Delta XYZ\]with m\[\angle Y\,\,=\,\,90{}^\circ \]and XY = YZ |
(f) \[\Delta LMN\]with mx\[\angle L\,\,=\,\,30{}^\circ ,\] \[\angle M\,\,=\,\,70{}^\circ ,\] m\[\angle N\,\,=\,\,80{}^\circ \] |
Answer:
(a) Since all the sides are of different lengths. \[\therefore \] It is scalene triangle. (b) Since all the sides are unequal in \[\Delta ABC\]. \[\therefore \] \[\Delta ABC\] is scalene triangle. (c) In \[\Delta PQR,\text{ }PQ=QR=RP\] \[\therefore \] \[\Delta PQR\] is equilateral triangle. (d) In \[\Delta DEF,\text{ }m\angle D=90{}^\circ \] \[\therefore \] It is right angled triangle. (e) In \[\Delta XYZ,\text{ }m\angle Y=90{}^\circ \] and \[XY=YZ\] \[\therefore \] It is isosceles right angled triangle. (f) Since each angle of \[\Delta LMN\] is less than \[90{}^\circ \] \[\therefore \] It is acute angled triangle.
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