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skad [1K]
3 years ago
13

A square pyramid with a = 20 mm and b = 96 mm is shown. What is the length of side c? *Hint: you must divide the "b" by two to f

ind the base of the right triangle
Mathematics
2 answers:
mote1985 [20]3 years ago
4 0

Answer:

52mm

Step-by-step explanation:

From the attached diagram

b1=b/2=96/2=48mm

a=20mm

From Pythagoras theorem c^2= 48^2+20^2=2704

C=√2704=52mm

Akimi4 [234]3 years ago
3 0

Answer: Length of side c = 52 mm

Step-by-step explanation:

Given the following ;

a = 20mm

b = 96mm

Find c

Using Pythagoras theorem, where 'c' is the slant height that is, the side of the triangle opposite to the right angle

'c' is the hypotenus

c^2 = a^2 + b^2

b is the base of the right angle

b = 96/2 = 48mm

c^2 = 20^2 + 48^2

c^2 = 400 + 2304

c^2 = 2704

c = sqrt(2704)

c = 52mm

Length of side c = 52mm

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<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

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<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

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Make the denominators same for easier calculations

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<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

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