Question

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

15.3 m

10 m

24.6 m

22.4 m

Answer 1

15.3 m

Explanation:

c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.

pythagoras theorem

a^2 + b^2 = c^2

11.6^2 + x^2 = 19.2^2

134.56 + x^2 = 368.64

x^2 = 368.64 - 134.56

x^2 = 234.08

x=
`\sqrt{234.08`

x=15.29

x=15.3 m

Answer 2

Solution given:

perpendicular[p]=x

base[b]=11.6m

hypotenuse[h]=19.2m

by using Pythagoras law

h²=p²+b²

19.2²-11.6²=x²

x=
`√(234.08)`

x=15.3m

option

a.

15.3 m