Question

Construct triangle XYZ such that XY + YZ + ZX = 9.6 cm and angle Y = 30° and angle Z = 60°​

Answer 1

$\large\underline{\sf{Solution-}}$

To construct this triangle, the following steps are followed :

Steps of Construction :-

Step - 1 : Draw a line segment AB = 9.6 cm.

Step - 2 : Construct ∠BAC = 30° and ∠ABD = 60°.

Step - 3 : Draw the angle bisector of ∠BAC and ∠ABD. Let the angle bisectors meet at X.

Step - 4 : Draw perpendicular bisectors of AX intersecting AB at Y and perpendicular bisector of BZ meeting AB at Y.

Step - 5 : Join XY and XZ to get the required triangle XYZ.

So, XYZ is the required triangle with XY + YZ + ZX = 9.6 cm and ∠Y = 30° and ∠Z = 60°.

Answer 2

Answer:

Steps of Construction:

1. Draw a line segment AB=11 cm. (=PQ+QR+RP).

2. At A, construct an angle of 30

∘

and at B, an angle of 90

∘

.

3. Bisect these angles. Let the bisectors of these angles intersect at a point X.

4. Draw perpendicular bisectors ST of AX and UV of BX .Let ST intersect AB at Y

5. Join XY and XZ.

Then, XYZ is the required triangle.

Step-by-step explanation:

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