in triangle DEP,DO=7,EP=4,EM=8 find DP. D0 is perpendicular to EP and EM is perpendicular to DP.
Answers
Given : ΔDEP, DO= 7 cm, EM= 8 cm and EP= 4 cm.
DO is perpendicular to EP and EM is perpendicular to DP.
To Find : DP
Solution:
Area of Triangle = (1/2) * base * Height
ΔDEP,
Base EP = 4 cm
Altitude / height = DO = 7 cm
Area of ΔDEP = (1/2) * 4 * 7 cm²
ΔDEP,
Base DP = x cm
Altitude / height = EM = 8 cm
Area of ΔDEP = (1/2) * x * 8 cm²
Equate Areas:
(1/2) * x * 8 = (1/2) * 4 * 7
=> x = 7/2
=> x = 3.5 cm
Hence DP = 3.5 cm
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Answer:
My number is a multiple of 5 and is less than 50. My number is a multiple of 3. My number has exactly 8 factors. What is my number?
Step-by-step explanation:
Assuming your number is a positive number:
The numbers less than 50 which are a multiple of 5 are:
5,10,15,20,25,30,35,40,45
Of these, the only ones which are a multiple of 3 are:
15,30,45
The factors of each of these are:
15:1,3.5,15
30:1,2,3,5,6,10,15,30
45:1,3,5,9,15,45
Your number is 30