the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
1 answer:
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle =
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A =
Multiply 2h(h) -5(h)
Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
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~Hope I helped!~
Answer:
30⁰ , 60⁰ , 90⁰
Step-by-step explanation:
Let the angles x , 2x , 3x
By angle sum property:
x + 2x + 3x = 180⁰
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