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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 cm2, 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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