Question

The length of a side and the corresponding height of a triangle are (x+3) cm and (2x -5) cm respectively. Given that the area of the triangle is 20 cm, find the value of x.

Answer 1

Step-by-step explanation:

length of base = 2x-5

height= x+3

Area of triangle=1/2*base*height

20=1/2*(x+3)*(2x-5)

i hope you solve this and get the answer.

Answer 2

The value of x is 5.

Step-by-step explanation:

Since we have given that

Length of side = x+3 cm

Height = 2x-5 cm

Area of the triangle = 20 sq.cm.

According to question, it becomes,

$\dfrac{1}{2}\times base\times height=20\\\\\dfrac{1}{2}\times (x+3)\times (2x-5)=20\\\\2x^2+x-15=40\\\\2x^2+x-15-40=0\\\\2x^2+x-55=0\\\\2x^2+11x-10x-55=0\\\\x(2x+11)-5(2x+11)=0\\\\x-5=0\\\\x=5\\and\\\\2x+11=0\\\\2x=-11\\\\x=-5.5$

As we know that -5.5 cannot be the dimension of triangle.

Hence, the value of x is 5.

# learn more:

The length of a side and the corresponding height of a triangle are (x+3) cm and (2x -5) cm respectively. Given that the area of the triangle is 20 cm, find the value of x.

https://brainly.in/question/12913586