1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VII
Mathematics
Properties of an Isosceles Triangle
The perimeter...
Question
The perimeter of the given triangle is
11.1
cm. Determine the dimension of the side YZ.
A
3.4 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4.3 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5.5 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
3.4 cm
Using the interior angle sum property of a triangle,
∠
X
+
∠
Y
+
∠
Z
=
180
o
⇒
∠
X
+
50
o
+
80
o
=
180
o
⇒
∠
X
=
180
o
−
50
o
−
80
o
=
50
o
As
m
∠
X
=
m
∠
Y
,
this is an isosceles triangle.
∴
Y
Z
=
X
Z
Perimeter of a triangle = Sum of all the side lengths.
⇒
X
Y
+
Y
Z
+
X
Z
=
11.1
cm
⇒
4.3
cm
+
2
Y
Z
=
11.1
cm
⇒
2
Y
Z
=
11.1
cm
−
4.3
cm
=
6.8
cm
⇒
Y
Z
=
6.8
2
=
3.4
cm
Suggest Corrections
0
Similar questions
Q.
The perimeter of the given triangle is 12 cm. Find the measure of the side AB.
Q.
The perimeter of two similar triangle are
30
c
m
and
20
c
m
. If one side of first triangle is
12
c
m
determine the corresponding side of second triangle.
Q.
The perimeter of two similar triangles are
30
c
m
and
20
c
m
respectively. If one side of the first triangle is
12
c
m
, determine the corresponding side of the second triangle.
Q.
Determine the perimeter(in cm) of a triangle whose sides are 10 cm, 12 cm and 13 cm.
Q.
The lengths of the sides of
△
A
B
C
are
3
cm,
4
cm, and
6
cm. Determine the least possible perimeter of a triangle similar to
△
A
B
C
which has one side of length
12
cm?
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Properties of an Isosceles Triangle
MATHEMATICS
Watch in App
Explore more
Properties of an Isosceles Triangle
Standard VII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app