Question

If the hypotenuse and base of a right angled triangle is 17 cm and 8 cm respectively, the

perpendicular will be​

Answer 1

Answer:

We know

According to Pythagoras theorem

Hypotenuse²=base²+altitude²(or perpendicular)

Here

Hypotenuse=17

base =8

Let the perpendicular be x

thus the equation is

17²=8²+x²

289=64+x²

x²=289-64=225

x=√225

x=15

therefore the perpendicular is 15 cm

Let's check whether it's correct or not

Hypotenuse²=base²+altitude²

17²=8²+15²

289=64+225

289=289

L.H.S=R.H.S

hence verified

Answer 2

Step-by-step explanation:

hypotenuse^2= base^2 +perpendicular^2

17^2=8^2+ perpendicular^

289-64=perpendicular^2

√225=perpendicular=15cm