The area of a right triangle is 30 square units. Determine its base and the a

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The area of a right triangle is 30 square units. Determine its base and the altitude, if the latter exceeds the former by 7 units.

Options:

A . Base = 3 unit , Altitude = 10 units

B . Base = 6 unit , Altitude = 13 units

C . Base =5 unit , Altitude = 12 units

D . none of these

Answer: Option C

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1 Comments

vidushi talwar 2017-06-01 19:26:06

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let the base of the triangle be=x units
therefore, altitude of the triangle will be= x+7 units
ATQ
area=1/2*base*height
30=1/2*x*(x+7)
2(30)=x(x+7)
60=xsq.+7x
xsq+7x-60=0
xsq+12x-5x-60=0
x(x+12)-5(x+12)=0
(x-5) (x+12)=0
x=5 [ as the length of the base cannot be negative]
Hence, base of the triangle is 5 units and altitude is 12 units(x+7=5+7=12)

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