(a) In figure (i) given below, AB = 12 cm, AC = 13 cm, CE = 10 cm and DE = 6 cm.
Calculate the length of BD.
Answers
Answered by
17
Given: AB = 12 cm, AC = 13 cm, CE = 10 cm and DE = 6 cm.
To find: Calculate the length of BD.
Solution:
- Consider triangle ABC, we get:
AB² + BC² = AC²
BC² = 13² - 12²
BC² = 169 - 144
BC² = 25
BC = 5 cm
- In triangle EDC, we have:
ED² + CD² = EC²
CD² = EC² - ED²
CD² = 10² - 6²
CD² = 100 - 36
CD² = 64
CD = 8 cm
CD + BC = 8 + 5
BD = 13 cm
Answer:
So the value of BC is 13 cm.
Similar questions