In δabc, ab = 20 cm, ac = 15 cm. the length of the altitude an is 12 cm. prove that δabc is a right triangle.

Given : In ΔABC,AB = 20 cm, AC = 15 cm and the length of the altitude AN is 12 cm.

To prove: Triangle ABC is a right angled triangle

Proof:

Since AN is an altitude, so it is a line segment through a vertex and perpendicular to a line containing the base.

Consider the triangle ANB,

By Pythagoras theorem,

So, BN = 16 cm.

Consider the triangle ANC,

By Pythagoras theorem,

So, NC = 9 cm.

Therefore, BC = BN + NC = 16 + 9 = 25cm.

Now, consider

225 = 225

Therefore, By converse of Pythagoras theorem.

Triangle ABC is a right angled triangle.

answer: what statements

step-by-step explanation if you write the statements down then i could you.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies