In ᅀDEP, DO= 7 cm, EM= 8 cm and EP= 4 cm. Find DP.
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7.8CM
Step-by-step explanation:
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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
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