case based study ---- one small size and another big size pizza was ordered by Mr Rohan for a breakfast the scale factor is
Answers
Answer:
46. c.
47. b.
48. b.
49. a.
50. d.
Step-by-step explanation:
46. SSS rule will be used because we have three similar sides.
47. scale factor=
(any side of big triangle)/(corresponding side of small triangle)
Here 16/8=2
48. use heron's formula
a1=8 b1=8 c1=10
a1+b1+c1=perimeter=26
semi. peri.=s1=26/2=13
By heron's formula
Ar. of triangle1(small triangle)=
sqaure root of [s1(s1-a1)(s1-b2(s1-c1)}=5√39
now ar of small pizza=4×5√39=20√39
49. ar(small slice) / ar(big slice)=
(any side of small slice)² / (corresponding side of big slice)²=
8² / 16²=1 / 4
50. either use heron's formula and find ar. of big slice then multiply by 3 to get ar. of big pizza (like above)
OR
we know that, ar. of big slice / ar of small slice = 1/4
so, ar. of big slice= ar. of small slice ×4 = 5√39 ×4=20√39
therefore, ar. of big pizza = 3 × 20√39= 60√39
Answer:
46 - C
47 - B
48 - C
49 - A
50 - D
Step-by-step explanation:
46 - Ratio of all three sides indicate SSS similarity
47 -scale factor = ratio of corresponding sides eg. 16:8 or 20:10 = 2
48 - Using heron's formula for area of triangle = sqrt ( S * S-a * S-b * S-c ) where S = ( a + b+ c) / 2
Area for small slice = 5 sqrt( 39 )
Area for small pizza = 20 sqrt ( 39 )
49- Ratio of area of similar rectangles = ( Ratio of sides ) ^ 2 = ( 1 : 2 ) ^ 2 = 1:4
50 - Using previous answer , Area of large slice =4* Area of small slice = 20 sqrt(39)
Area of large pizza = 3 * area of large slice = 60 sqrt(39)