Option B:
Solution:
In the given figure .
If two triangles are similar, then their corresponding sides and angles are equal.
By CPCTC, in ,
– – – – (1)
– – – – (2)
– – – – (3)
– – – – (4)
– – – – (5)
– – – – (6)
Option A:
By CPCTC proved in equation (2) .
Therefore . Option A is false.
Option B:
By CPCTC proved in equation (1) .
Therefore Option B is true.
Option C:
By CPCTC proved in equation (4) .
Therefore . Option C is false.
Option D:
By CPCTC proved in equation (5) .
Therefore . Option D is false.
Hence Option B is the correct answer.
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = =
cosq = =