Question

Please help me with this question

Answer 1

Answer:

a. 6.71

b. 4.24

c. 8.66

Step-by-step explanation:

a uses the Pythagorean theorem that states $a^{2} + b^{2} = c^{2}$

therefore $6^{2} + x^{2} = 9^{2}$

81 - 36 = $x^{2}$

45 = $x^{2}$

$\sqrt{45} = x$

6.71 = x

b also uses pythagorean theorem. the lines on the 2 sides of the triangles indicates that they are equal. Therefore $x^{2} +x^{2} =6^{2}$

36 / 2 = $x^{2}$

18 = $x^{2}$

$\sqrt{18} = x$

4.24 = x

c uses trigonometry. It is tan because the opposite and the adjacent lengths are provided.

the equation to find an unknown length is tan(angle) = $\frac{o}{a}$

replace the known angles and you get

tan(60) = $\frac{x}{5}$

then solve for x

5 x tan(60) = x

8.66 = x

Hope this helps :)