Question

the sides of a triangle are 7cm 24cm 25cm find the perpendicular from the opposite vertex to the side whose length is 25 cm

Answer 1

Answer:

Step-by-step explanation:

As Pythagoras theorem goes, in a right-angled triangle, a² + b² = c²

So to prove if 3 lengths form a right angle triangle we reconstruct this.

Obviously the longest length,25, would be the hypotenuse and you compare 25² to 7² + 24²

25² = 625 , 7² + 24² = 49 + 576 = 625

Therefore since these are equal we conclude that 7² + 24² = 25²

By the converse of Pythagoras’ theorem we can conclude that this is a right-angled triangle.