In triangle FGH, measure F = 50°, measure G = 60°, and measure H= 70°. Which side of triangle FGH is the shortest?
A. GH
B. FH
C. FG
D. Cannot be determined

In triangle FGH, measure F = 50°, measure G = 60°, and measure H= 70°. Which side of triangle FGH i

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Ответ:

cocomojoe5141

12.03.2021

Mathematics

Given:

The complex number is $i^{34}$ .

To find:

The value of given complex number.

Solution:

We have,

$i^{34}$

It can be written as

$i^{34}=i^{32+2}$

Using properties of exponents, we get

$i^{34}=i^{32}i^{2}$ $[\because a^{m+n}=a^ma^n]$

$i^{34}=i^{4\times 8}i^{2}$

$i^{34}=(i^4)^8i^{2}$ $[\because (a^{m})^n=a^{mn}]$

We know that, i^4=1,i^2=-1 .

$i^{34}=(1)^8(-1)$

$i^{34}=(1)(-1)$

$i^{34}=-1$

The value of $i^{34}$ is -1. Therefore, the correct option is C.

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In triangle FGH, measure F = 50°, measure G = 60°, and measure H= 70°. Which side of triangle FGH is the shortest? A. GH B. FH C. FG D. Cannot be determined