Question

Pythagoras' Theorem
1. Find the unknown side of the following right-angled triangles.​

Answer 1

Answer:

a) 25 cm

b) 38.8 cm

Step-by-step explanation:

a) x^2 = 20^2 + 15^2

= x^2 = 400 + 225

= x = _/625

x = 25

b)x^2 = 21^2 + 29^2

= x^2 = 441 + 841

= x = _/1282

x = 38.8

I hope this will help you

Answer 2

Answer:

Step-by-step explanation:

-------------------------------------------------

The Pythagorean Theorem,$(AC)^2 = (BC)^2 + (AB)^2$  , can be used to find the length of any side of a right triangle

i.e. $(HYP)^2 = (B)^2 + (ALT)^2$

-------------------------------------------------

In the first figure

$(AC)^2 = (BC)^2 + (AB)^2$

$(AC)^2 = (15)^2 + (20)^2$

$(AC)^2 = 225 + 400$

$(AC)^2 = 625$

$AC = \sqrt{625} = 25$

Hence the third side is 25 units

-------------------------------------------------

In the second figure

$(AC)^2 = (BC)^2 + (AB)^2$

$(29)^2 = (BC)^2 + (21)^2$

$(BC)^2 = (29)^2 - (21)^2$

$(BC) = \sqrt{(29)^2-(21)^2}$

$BC = \sqrt{841 - 441}$

$BC = \sqrt{400} = 20$

Hence the third side is 20 units

-------------------------------------------------