Which set of side lengths form a right side? a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm

Step-by-step explanation:

If a ≤ b < c form of a right side, then a² + b² = c²

a) 3ft, 6ft, 5ft

3² + 5² = 6²

9 + 25 = 36

34 = 36        FALSE

b) 50in, 48in, 14in

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500     CORRECT :)

c) 53m, 48m, 24m

24² + 48² = 53²

576 + 2304 = 2809

2880 = 2809     FALSE

d) 8cm, 17cm, 14cm

8² + 14² = 17²

64 + 196 = 289

260 = 289    FALSE

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

the answer is d. 75%