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enyata [817]
3 years ago
15

Inscribed Angles. If a= 34 than how do i find find b, c, and d.

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

b, c, & d also = 34

Step-by-step explanation:

They all are inscribed angles of the same arc

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<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

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As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

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Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

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<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

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