Question

5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.

Answer 1

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

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( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

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taking the positive value : x = 6

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base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3