Question

Length of legs of a right-angled triangle are 7 cm and 24 cm. Find the length of altitude to the hypotenuse.​

Answer 1

Answer:

by using Pythagoras theorem,

H²=P²+B²

h²=7²+24²

h²=49+576

h²=625

h=25

Answer 2

Answer:

Let the base be x cm. Then the altitude will be x−7 cm.

By Pythagoras theroem,

x

2

+(x−7)

2

=13

2

⇒x

2

+x

2

−14x+49=169

⇒2x

2

−14x−120=0

⇒x

2

−7x−60=0

⇒x

2

−12x+5x−60=0

⇒x(x−12)+5(x−12)=0

⇒(x+5)(x−12)=0

⇒x=12,−5

Length cannot be negative, then the base is 12 cm and the height is 5 cm

please mark as Brainliest answer