Question
In triangle PQR, a point S is on QR such that ∠PSQ =
∠SPR. If PQ = 60 cm, PR = 45 cm, and QR = 35 cm, find the length of QS.Solution
ATQ,
Since ∠PSQ = ∠SPR, PS is the angle bisector of ∠P.
Using Angle Bisector Theorem:
PQ / PR = QS / SR
Let QS = x cm
Then SR = 35 - x cm
60 / 45 = x / (35 - x)
⇒ 4 / 3 = x / (35 - x)
Cross-multiplying:
4(35 - x) = 3x
140 - 4x = 3x
140 = 7x
x = 20
Find which one of the given words can be made from the letters of the given word.
‘ SMARTLY ’
...Find which one of the given words cannot be made from the letters of the given word ‘ PRONOUNCIATION ’ .
...Select the word which cannot be formed using the letters of the given word, using the letters of the given word only once.
RECONSTITUTION
Select the word which cannot be formed using the letters of the given word using the letters only once.
REVERSIBLE
Arrange the following words as per order in the dictionary:
1. Euphrasy
2. Eupepsy
3. Euphonics
4. Eugenics
5. Euphony
How many such pair(s) of letters are in the word “CAPTAIN” which has as many letters between them (both forward and backward) as in the English alph...
If ‘P + Q’ means ‘P is father of Q’, ‘P – Q’ means ‘P is mother of Q’, ‘P * Q’ means ‘P is brother of Q’ and ‘P % Q’ means...
Find which one of the given words cannot be made from the letters of the given word.
‘ PERPENDICULAR ’
...Six family members are sitting in a row. Ana is sitting towards immediate left of Ben and immediate right of Cen. Cen is sitting to immediate right of F...
In the given words, if the 3rd and 6th (from the left end) letters are exchanged and same is done with 4th and 9t...
