Question
How many different ways can the letters of the word
‘DEMONETIZATION’ be arranged?Solution
D ⇒ 1 E ⇒ 2 M ⇒ 1 O ⇒ 2 N ⇒ 2 T ⇒ 2 I ⇒ 2 Z ⇒ 1 A ⇒ 1 Number of ways = 14!/(2!x2!x2!x2!x2!) = 87178291200/(2x2x2x2x2) = 87178291200/32 = 2724321600
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The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
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- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
Find the altitude of an equilateral triangle whose side is 8√3 cm.
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
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