Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

A triangle has one side of 11 inches and another of 15 inches. Describe the possible lengths of the third side.

hint Hint:

Triangle inequality theorem

According to this theorem, in any triangle, sum of two sides is greater than third side,

a < b + c

b < a + c

c < a + b

while finding possible lengths of third side use below formula

difference of two side < third side < sum of two sides

The correct answer is: Hence, all numbers between 4 and 26 will be the length of third side.

Step-by-step explanation:
Given:
In triangle, sides are 11 inches and 15 inches.
a = 11 inches, b = 15 inches.
Step 1:
Find length of third side.
According to triangle inequality theorem,
c < a + b
∴ c < 11 + 15
c < 26
Step 2:
difference of two side < third side < sum of two sides
b – a < c < a + b
15 – 11 < c < 11 + 15
4 < c < 26
Hence, all numbers between 4 and 26 will be the length of third side.
Final Answer:
Hence, all numbers between 4 and 26 will be the length of third side.

Related Questions to study

A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.

A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.

(ii) – 3a²b, –17a²b, 8a²b, – 4a²b

(ii) – 3a²b, –17a²b, 8a²b, – 4a²b

Factor out the GCF from the given polynomial.
$15 x cubed y minus 10 x squared y cubed$

Factor out the GCF from the given polynomial.
$15 x cubed y minus 10 x squared y cubed$

parallel

Two angles form a linear pair. the measure of one angle is 3 times the measure of the other. Find the measure of each angle.

Two angles form a linear pair. the measure of one angle is 3 times the measure of the other. Find the measure of each angle.

List the angles of from smallest to largest.

List the angles of from smallest to largest.

Identify angles in linear pair. Also highlight the vertical angle of $straight angle A B E$

Identify angles in linear pair. Also highlight the vertical angle of $straight angle A B E$

parallel

List the sides of △ 𝐷𝐸𝐹 from shortest to longest

List the sides of △ 𝐷𝐸𝐹 from shortest to longest

Identify all pairs of vertical angles.

Identify all pairs of vertical angles.

Find the sum of the following expressions.
(i) 5x, – 3x, 4x, –10x

Find the sum of the following expressions.
(i) 5x, – 3x, 4x, –10x

parallel

Which of the following statements is NOT true?

a. 𝑚∠𝐵 < 𝑚∠𝐶
b. 𝑚∠𝐵 > 𝑚∠𝐶
c. 𝑚∠𝐵 = 𝑚∠𝐶

Which of the following statements is NOT true?

a. 𝑚∠𝐵 < 𝑚∠𝐶
b. 𝑚∠𝐵 > 𝑚∠𝐶
c. 𝑚∠𝐵 = 𝑚∠𝐶

Factor out the GCF from the given polynomial.
$negative 3 x to the power of 4 plus 12 x cubed minus 2 x squared$

Factor out the GCF from the given polynomial.
$negative 3 x to the power of 4 plus 12 x cubed minus 2 x squared$

Identify linear pairs and find $m straight angle E B C text . end text$

Identify linear pairs and find $m straight angle E B C text . end text$

parallel

Angles P and Q are complementary. Find the measure of angle Q if $m straight angle P equals 46 to the power of ring operator$

Angles P and Q are complementary. Find the measure of angle Q if $m straight angle P equals 46 to the power of ring operator$

(ii) -12a²b² and -6a²b²

(ii) -12a²b² and -6a²b²

Factor out the GCF from the given polynomial.
$10 a squared b plus 10 a b squared$

Factor out the GCF from the given polynomial.
$10 a squared b plus 10 a b squared$

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.