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In this lesson, we will learn how to use the right triangle altitude theorem to find a missing length.

Q1:

Find the length of π΅ π· .

Q2:

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

Q3:

What does ( π΄ πΆ ) 2 equal to?

Q4:

What does ( π΄ π· ) 2 equal to?

Q5:

In the figure below, πΆ β π΅ π· , π β π΅ = π β π· = 9 0 β , π β πΆ πΈ π· = 3 0 β , π β π΄ πΈ πΆ = 4 5 β , π β π΅ π΄ πΆ = 6 0 β , and πΆ π· = 8 c m . Find the length of π΄ πΆ .

Q6:

In the given figure, ( π· π΄ ) 2 is equal to the product of which two other lengths?

Q7:

Given that π΄ π· = 2 5 , find πΉ π΅ .

Q8:

Given that the area of the trapezium π΄ π΅ πΆ π· is 9,522 cm^{2}, determine the length of π΅ πΉ .

Q9:

Find the length of π΄ π΅ .

Q10:

Calculate the length of π΄ πΆ .

Q11:

π΄ πΆ is a diagonal in the rectangle π΄ π΅ πΆ π· , where π΅ πΈ β© π΄ πΆ = { π } . If π΄ π΅ = 1 5 c m and π΅ πΆ = 1 0 c m , determine the length of π΅ πΈ .

Q12:

Which segment is the altitude of β³ π΄ π΅ πΆ ?

Q13:

Fill in the blank: π₯ π = β¦ π .

Q14:

Q15:

Q16:

Which line segment is the altitude of triangle π΄ π΅ πΆ which is perpendicular to β ο© ο© ο© ο© β π΄ π΅ ?

Q17:

Find π₯ to two decimal places.

Q18:

Which line segment is the altitude of triangle π΄ π΅ πΆ which is perpendicular to β ο© ο© ο© ο© β π΅ πΆ ?

Q19:

In the given figure, ( π΄ π΅ ) 2 is equal to the product of which two other lengths?

Q20:

Find the base of the altitude πΆ π· in β³ π΄ π΅ πΆ .

Q21:

Find the length of π΄ πΉ approximating the result to the nearest hundredth.

Q22:

Q23:

Which line segment is the altitude of triangle π΄ π΅ πΆ which is perpendicular to β ο© ο© ο© ο© β π΄ πΆ ?

Q24:

π΄ π· = β― Γ πΆ π΄ πΆ π΅ .

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