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Lesson: Right Triangle Altitude Theorem

Sample Question Videos

Worksheet • 24 Questions • 4 Videos

Q1:

Find the length of 𝐡 𝐷 .

Q2:

In the following figure, find the length of 𝑃 𝑆 .

Q3:

What does ( 𝐴 𝐢 ) 2 equal to?

  • A 𝐢 𝐷 Γ— 𝐢 𝐡
  • B ( 𝐴 𝐷 ) Γ— ( 𝐢 𝐷 ) 2 2
  • C 𝐢 𝐷 Γ— 𝐷 𝐡
  • D ( 𝐢 𝐷 ) Γ— ( 𝐢 𝐡 ) 2 2

Q4:

What does ( 𝐴 𝐷 ) 2 equal to?

  • A 𝐢 𝐷 Γ— 𝐷 𝐡
  • B 𝐢 𝐷 Γ— 𝐢 𝐡
  • C 𝐴 𝐡 Γ— 𝐴 𝐢
  • D 𝐢 𝐡 Γ— 𝐷 𝐡

Q5:

In the figure below, 𝐢 ∈ 𝐡 𝐷 , π‘š ∠ 𝐡 = π‘š ∠ 𝐷 = 9 0 ∘ , π‘š ∠ 𝐢 𝐸 𝐷 = 3 0 ∘ , π‘š ∠ 𝐴 𝐸 𝐢 = 4 5 ∘ , π‘š ∠ 𝐡 𝐴 𝐢 = 6 0 ∘ , and 𝐢 𝐷 = 8 c m . Find the length of 𝐴 𝐢 .

Q6:

In the given figure, ( 𝐷 𝐴 ) 2 is equal to the product of which two other lengths?

  • A 𝐴 𝐡 , 𝐴 𝐢
  • B 𝐷 𝐡 , 𝐷 𝐢
  • C 𝐷 𝐡 , 𝐡 𝐢

Q7:

Given that 𝐴 𝐷 = 2 5 , find 𝐹 𝐡 .

Q8:

Given that the area of the trapezium 𝐴 𝐡 𝐢 𝐷 is 9,522 cm2, determine the length of 𝐡 𝐹 .

Q9:

Find the length of 𝐴 𝐡 .

Q10:

Calculate the length of 𝐴 𝐢 .

Q11:

𝐴 𝐢 is a diagonal in the rectangle 𝐴 𝐡 𝐢 𝐷 , where 𝐡 𝐸 ∩ 𝐴 𝐢 = { 𝑀 } . If 𝐴 𝐡 = 1 5 c m and 𝐡 𝐢 = 1 0 c m , determine the length of 𝐡 𝐸 .

Q12:

Which segment is the altitude of β–³ 𝐴 𝐡 𝐢 ?

  • A 𝐢 𝐷
  • B 𝐡 𝐢
  • C 𝐴 𝐷
  • D 𝐴 𝐡
  • E 𝐡 𝐷

Q13:

Fill in the blank: π‘₯ 𝑙 = … 𝑛 .

  • A 𝑦
  • B π‘₯
  • C π‘š
  • D 𝑧

Q14:

Find the length of 𝐡 𝐷 .

Q15:

What does ( 𝐴 𝐢 ) 2 equal to?

  • A ( 𝐴 𝐷 ) + ( 𝐢 𝐷 ) 2 2
  • B ( 𝐴 𝐡 ) + ( 𝐢 𝐡 ) 2 2
  • C 𝐴 𝐡 + 𝐢 𝐡
  • D 𝐴 𝐷 + 𝐢 𝐷

Q16:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐡 ?

  • A 𝐡 𝐷
  • B 𝐡 𝐢
  • C 𝐴 𝐡

Q17:

Find π‘₯ to two decimal places.

Q18:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐡 𝐢 ?

  • A 𝐡 𝐷
  • B 𝐴 𝐡
  • C 𝐡 𝐢

Q19:

In the given figure, ( 𝐴 𝐡 ) 2 is equal to the product of which two other lengths?

  • A 𝐢 𝐷 , 𝐡 𝐢
  • B 𝐡 𝐷 , 𝐡 𝐢
  • C 𝐡 𝐷 , 𝐢 𝐷

Q20:

Find the base of the altitude 𝐢 𝐷 in β–³ 𝐴 𝐡 𝐢 .

  • A 𝐴 𝐷
  • B 𝐴 𝐡
  • C 𝐡 𝐷

Q21:

Find the length of 𝐴 𝐹 approximating the result to the nearest hundredth.

Q22:

Find the length of 𝐴 𝐹 approximating the result to the nearest hundredth.

Q23:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐢 ?

  • A 𝐡 𝐢
  • B 𝐡 𝐷
  • C 𝐴 𝐡

Q24:

𝐴 𝐷 = β‹― Γ— 𝐢 𝐴 𝐢 𝐡 .

  • A 𝐡 𝐷
  • B 𝐴 𝐡
  • C 𝐢 𝐷
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