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Jet001 [13]
3 years ago
13

The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a

rea of a triangle. 1/2 * base * altitude.)
Mathematics
1 answer:
klemol [59]3 years ago
7 0
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

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Answer: - 0.027

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7 0
3 years ago
33 34 and 35 please help
Kryger [21]

first you have to find the triangle, then you can move to the actual question.

x+30+80 = 180

x+110 = 180

x+110 - 110 = 180-110

x =70

now you can go to the actual question.

y + 70 = 180

y+70- 70 = 180-70

y = 110

there is your answer. hope this is helpful

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