the area of a right triangle is 100 cm square .if one of the perpendicular leg is 25cm find the length of the other
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Secondary School Math 8+4 pts
The area of a right triangle is 100cm2 . If one of the perpendicular legs is 25 cm, find the length of the other.
by RevRed 16.01.2018
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Solution :-
Length of the perpendicular = 25 cm
Area of triangle = 100 cm²
Length of the other side or base = ?
Area of triangle = 1/2*Base*Height
⇒ 100 = 1/2*Base*25
⇒ Base = (100*2)/25
⇒ Base = 200/25
⇒ Base = 8 cm
So, length of base is 8 cm
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Area of the triangle = 1/2 ×bh
100 = 1/2 × b×25
25b/2= 100
25b = 100×2
25b = 200
b = 200/25 =8
Perpendicular sides of the triangle = 25 & 8
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