CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Equal Angles Subtend Equal Sides

The perimeter...

Question

The perimeter of an isosceles triangle is $45 c m$ .if length of the non -congruent side is half the length of the congruent sides, find the length of the congruent sides.

A

4.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

9 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

12 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

18 c m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $18 c m$
given perimeter $= 45 c m$
$b = \frac{a}{2} a + a + \frac{a}{2} = 45$
$\frac{5 a}{2} = 45$
$a = 18 c m$
length of congruent sides is $18 c m$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The perimeter of an isosceles triangle is 42 cm and its base 1

\frac{1}{2}

times its congruent sides. Find
(i) the length of congruent sides of a triangle

The perimeter of an isosceles triangle is 42 cm and its base is

1 \frac{1}{2}

times its congruent sides. the length of congruent sides of the triangle

Q. The perimeter of an isosceles triangle is

30 c m

. The length of each congruent side is

3 c m

more than the length of its base. Find the lengths of all the sides.

Q. Solve the following problems using two variables.
(ii) The perimeter of an isosceles triangle is 24 cm. The length of its congruent sides is 13 cm less than twice the length of its base. Find the lengths of all sides of the triangle.

Q. The congruent sides of an isosceles triangle are 4 cm each. If its perimeter is 14 cm, then find the length of the 3rd side.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Triangle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equal Angles Subtend Equal Sides

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon