Question

The height of the triangle as 7cm less than its base and its area is 9sq cm find the height and base. Of the triangle

Answer 1

Answer:

B = 9cm

H = 2cm

Step-by-step explanation:

to find base B and height H

given area A= 9cm²

H=B-7

area of the triangle A= 1/2 *B*H

9=1/2*B*(B-7)

9*2=B*(B-7)

18= B²-7B

B²-7B-18=0. -18(*) l -7 (+or-)

----------l------------

B²-7B-2B+2B-18=0 l

-9 l 2

B²-9B+2B-18=0. l

the factors are ( B-9) and (B+2)

B(B-9)+2(B-9)=0

(B-9) * (B+2)=0

B-9=0. or B +2=0

B=9. or. B= -2

the length of the triangle is always positive

sollu we will take the value for B = 9cm

now when B=9

H =B-7

= 9-7

=2

H = 2 cm