Solid Mensuration

CPR
(MATH13- B10)

Members: C06 Wrenbria Ngo C07 Julie – Ann Parañal C08 Dani Patalinghog C09 Marino Penuliar C10 Michael Sadsad

CPR
(MATH13- B10)

Members: C06 Wrenbria Ngo C07 Julie – Ann Parañal C08 Dani Patalinghog C09 Marino Penuliar C10 Michael Sadsad

Prof. Charity Hope Gayatin
Prof. Charity Hope Gayatin

Homework 1.1

#15. Find the sides of each of the two polygons if the total number of sides of the polygons is 13, and the sum of the number of diagonals of the polygons is 25.
Assume: 8 and 5 D1= n2(n-3) n=13 D1= 82(8-3)
D=25 D1= 20 D2= n2(n-3) D2= 52(5-3) D2= 5 Answer: The number of sides in each polygon is 8 and 5
#17. What is the name of a regular polygon that has 90 diagonals?
Given: D = 90
Required: Name of regular polygon
D = n2 (n-3) -n2 + 3n + 180 = 0
90 = n2 (n-3) n-15 = 0 n+ 12= 0
180 = n2 – 3n n = 15 n= -12
Answer: PENTADECAGON

#19. Find the number of diagonals of a regular polygon whose interior angle measures 144°. Given: I.A = 144°
Required: D =? For D
I.A = 180(n-2)n 144n = 180n – 3 D = n2 (n-3) D = 702
144 = 180(n-2)n -36 n = -360 D= 102(10-3) D = 35
144n = 180 (n-2) n = 10 2D = 10(7)
Answer: D = 35

#21. The ratio of areas between two similar triangles is 1:4. If one side of the smaller triangle is 2 units, find the measure of the corresponding side of the other triangle.
Given:
2