wiz-icon
MyQuestionIcon
MyQuestionIcon
15
You visited us 15 times! Enjoying our articles? Unlock Full Access!
Question

Complete the steps to construct a triangle XYZ in which Y=45,Z=90 and XY + YZ + ZX = 13 cm.

Steps of construction:Step 1: Draw a line segment AB=13 cm.Step 2: At A, construct an angle of 45 and at B construct an angle of 90.Step 3 will be :


A
Draw perpendicular bisection CD of AX to intersect AB at Y.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Join XY and XZ to obtain required triangle XYZ.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Draw perpendicular bisector EF of XB to intersect AB at Z
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Bisect these angles. Let bisector of these angles intersect at point X.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Bisect these angles. Let bisector of these angles intersect at point X.
Steps of construction:

Step 1: Draw a line segment AB=13 cm.

Step 2: At A, construct an angle of 45
and at B construct an angle of 90.

Step 3: Bisect these angles. Let bisector of these angles intersect at point X. Join AX and BX.

Step 4: Draw perpendicular bisectors of AX and BX to intersect AB at Y and Z respectively. Join AB and AC.

Then, ABC is the required triangle.


flag
Suggest Corrections
thumbs-up
8
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Construct Triangle When Its Base, Sum of the Other Two Sides and One Base Angle Are Given
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon