The base and height of triangle are (x + 3)cm and (2x - 5)cm respectively. If the area of triangle. Triangle is 20cm², find x.
Answers
Answered by
0
,
this is the answer please mark as branilist
Attachments:
Answered by
1
Step-by-step explanation:
Given : Base and height of triangle are (x+3) cm and (2x-5) cm respectively.
Area = 20 cm²
Formula to find area of triangle :
= ½ × Base × Height Sq. units
According to the question,
=> ½ (x + 3) (2x - 5) = 20
=> 2x² - 5x + 6x - 15 = 20 × 2
=> 2x² + x - 15 = 40
=> 2x² + x - 15 - 40 = 0
=> 2x² - 10x + 11x - 55 = 0
=> 2x(x - 5) + 11(x - 5) = 0
=> (2x + 11) (x - 5) = 0
=> x = - 11/2 or x = 5
∴ x = 5 (Length is always positive)
Hence,
The value of x = 5 cm
Similar questions