Question

Given that a=16cm and b=17cm work out the height of the triangle

Answer 1

Answer:

$c = \sqrt{33}\ cm$

Step-by-step explanation:

$a^{2} + c^{2} = b^{2} \\16^{2} + c^{2} = 17^{2}\\256 + c^{2} = 289\\c^{2} = 289 - 256\\c = \sqrt{33}$

Answer 2

Answer:

√33 cm

Step-by-step explanation:

Here,

b² = a² + c²

Because it is a right triangle

=> (17)² = (16)² + c²

=> 289 = 256 + c²

=> 289 - 256 = c²

=> 33 = c²

=> √33 = c

Hence,

height of triangle is √33 cm