EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Lines, Triangles and Circles · Question 41 of 67

Question 41

HardOriginal question

Triangle ABC is right-angled at C, with AC=6AC = 6 cm and BC=8BC = 8 cm. D is the midpoint of BC. What is the length of AD?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. CD=8÷2=4CD = 8 \div 2 = 4 cm, and triangle ACD is right-angled at C.

  2. AD=62+42=52=213AD = \sqrt{6^2 + 4^2} = \sqrt{52} = 2\sqrt{13} cm (about 7.2 cm).

Worth noting

5 cm is the median from C to the hypotenuse (half of AB=10AB = 10 cm). 73\sqrt{73} cm is the median from B to AC. Read which midpoint is named.

Concept
Pythagoras for a median of a right triangle
Typical time
115 s
Your time
—
The rule this testsSimilarity and Pythagoras
Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.

Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.