the altitude of a right teangle est7cm Less than its base at the n epr

1.	the altitude of a right teangle est7cm Less than its base at the n eprotenuse is 13cm find the otherHomo sude
Answer» Let base be x cm , then altitude will be (x-7) cm. Now , By using pythagoras theorem- 132 = x2 + (x-7)2 169 = x2 + x2 + 49 - 14x 2x2 - 14x - 120 = 0 x2 - 7x - 60 = 0 x2 - 12x + 5x - 60 = 0 x ( x - 12 ) + 5 ( x - 12 ) = 0 Hence x = 12 sO , Altitude is 5 cm AND. , base = 12cm Attitude is 5cmandbase = 12cmanswer.

the altitude of a right teangle est7cm Less than its base at the n eprotenuse is 13cm find the otherHomo sude

Answer»

Let base be x cm , then altitude will be (x-7) cm.

Now ,

By using pythagoras theorem-

132 = x2 + (x-7)2

169 = x2 + x2 + 49 - 14x

2x2 - 14x - 120 = 0

x2 - 7x - 60 = 0

x2 - 12x + 5x - 60 = 0

x ( x - 12 ) + 5 ( x - 12 ) = 0

Hence x = 12

sO , Altitude is 5 cm

AND. ,

base = 12cm

Attitude is 5cmandbase = 12cmanswer.