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CBSE Class 9 Answered

Construct a triangle XYZ in which Y = 30o, Z = 90o and XY + YZ + ZX = 11 cm.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Steps of construction:

(i) Draw a line segment AB of 11 cm. (As XY + YZ + ZX = 11 cm)

(ii) Construct an angle, PAB, of 30° at point A and an angle, QBA, of 90° at point B.

(iii) Bisect PAB and QBA. Let these bisectors intersect each other at point X.

(iv) Draw perpendicular bisector ST of AX and UV of BX.

(v) Let ST intersect AB at Y and UV intersect AB at Z.

Join XY, XZ.

XYZ is the required triangle.

Answered by | 04 Jun, 2014, 03:23: PM

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