Q4.    Construct a triangle XYZ in which \angle Y = 30\degree, \angle Z = 90\degree° and XY + YZ + ZX = 11 cm.

Answers (1)

The steps of construction to be followed:

Step 1: For given XY+YZ+ZX = 11 cm, a line segment PQ =11 cm  is drawn.

Step 2: At points, P and Q angles of \angle RPQ = 30^{\circ} and \angle SQP =90^{\circ} are constructed respectively.

Q31

Step 3: Now, bisects the angle RPQ and SQP. The bisectors of these angles intersect each other at a point X.

Q32

Step 4: Construct the perpendicular bisector of PX and QX, name them as TU and WV respectively.

q33

Step 5: Let the bisector TU intersect PQ at Y and bisector WV intersect PQ at Z. Then XY and ZY are joined.

step aaa

Therefore, \triangle XYZ is the required triangle.

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions