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3 years ago

If triangle jkl is similar to triangle nml find the values of x and y

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

y=18

x=35

Step-by-step explanation:

Scale factor is 2.5

40/16

14*2.5

16/2.5

45/2.5 gives you y

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$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$

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Angles in a triangle add to 180°, so $m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)$ .

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$AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}$

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If triangle jkl is similar to triangle nml find the values of x and y​

If triangle jkl is similar to triangle nml find the values of x and y