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valentina_108 [34]
3 years ago
7

What radius of a circle is required to inscribe an equilateral triangle with an area of 35.074 in2 and an altitude of 7.794 in?

(round to nearest tenth) A) 4.8 in B) 5.0 in C) 5.2 in D) 6.0 in

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

(C) r=5.2 in

Step-by-step explanation:

firstly, we will draw diagram

we know that

centroid divides altitude into 2:1 form

so, we get

r=\frac{2}{3}\times h

now, we can plug

h=7.794

r=\frac{2}{3}\times 7.794

r=5.196in

so, option-C...............Answer

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Answer:

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2 years ago
1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work
vodka [1.7K]

By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

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Substitute the value of 'x' to get the measure of each angle,

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brainly.com/question/4838302

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