The length of a hypotenuse of a right triangle exceeds the length of its base by 2cm and exceeds
length of the altitude by 1 cm, then the length of each side of the triangle (in cm) is
Answers
Answered by
1
Answer:
let the hypotenuse length be x cm
then
base = x-2 cm
altitude= x-1 cm
By pythagoras theorem
X2=(x-1)2+(x-2)2
X2=x2-2x+1+x2-4x+4
X2=2x2-6x+5
2x2-x2-6x+5=0
x2-6x+5=0
x2-x-5x+5=0
x(x-1)-5(x-1)=0
(x-1)(x-5)=0
then x= 1 or 5 cm
for 1 cm
base = 1-2=-1 which is not possible so x value is 5 cm
hypotenuse =5 cm
base= 5-2= 3 cm
altitude= 5-1 =4 cm
Similar questions
English,
5 months ago
Hindi,
5 months ago
Social Sciences,
11 months ago
Social Sciences,
11 months ago
Social Sciences,
1 year ago
India Languages,
1 year ago