Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to solve problems on corollaries of theorems of isosceles triangles.

Q1:

What is π β π πΆ π΅ ?

Q2:

Find π₯ .

Q3:

In the following figure, find the length of π π .

Q4:

In the following figure, find the length of πΎ πΏ .

Q5:

In the figure, what is the length of πΈ πΊ ?

Q6:

Find the length of π΄ πΆ and π β π· π΅ πΆ .

Q7:

The given figure shows an isosceles triangle, where π is the midpoint of π΄ π΅ .

Can we prove that triangle π΄ πΆ π and triangle π΅ πΆ π are congruent? If yes, state which congruence criteria could be used.

Hence, what can we conclude about the angles πΆ π΄ π΅ and π΄ π΅ πΆ ?

Q8:

Find π β π· π΄ π΅ .

Q9:

In β³ π΄ π΅ πΆ , if π΄ π΅ = π΄ πΆ and π β π΄ = 5 2 β , find π β π΅ .

Q10:

In the figure below, what is the area of β³ π π π ?

Q11:

Given that πΆ π΄ = πΆ π· = π΄ π΅ , π β π· πΆ π΄ = 4 8 β , and π β π΄ π΅ πΆ = ( 3 π₯ + 2 1 ) β , find the value of π₯ .

Donβt have an account? Sign Up