a² = 10²+10²-2*10*10cos150
a = 19.31851652578 cm.
Where a is AF which is equal AE.
(19.31851652578/sin150) = (10/sinb)
b = 15°
Where b is angle BAF.
tan15 = c/10
c = 2.67949192431 cm.
It implies;...
Let the small inscribed square side be a.
Let b be the side of the big inscribed square.
It implies;
b = 10-a
Therefore;
Calculating a.
tan(90-75) = a/(10-a)
a(1+tan15) = 10tan15
a = (10tan15)...
1. “Pure mathematics is, in its way, the poetry of logical ideas.” —Albert Einstein
2. “Without mathematics, there is nothing you can do. Everything around you is mathematics. Everything around yo...
The only way to learn Mathematics is to do Mathematics.
Online Edumath Educators are committed to mentor you learn Mathematics and become a lover of Mathematics, and a better Mathematician.
Let the radius of the inscribed circle be r.
The square side is 8 cm.
b = 8-r
c = 2+r
Therefore;
(2+r)² = 2²+(8-r)²
4+4r+r² = 4+64-16r+r²
4r = 64-16r
20r = 64
5r = 16
r = (16/5) cm.
Area circl...
Our Certified, Experienced, Hardworking, Resilient and Productive Mathematics Educators will be happy to be at your service to educate your learner/learners become a lover of Mathematics, and a bett...
The triangle's height is;
3x^(⅓)
Triangle area = Triangle perimeter
Therefore;
½(3x^(⅓)*4x^(⅓)) = 12x^(⅓)
6x^(⅔) = 12x^(⅓)
x^(⅔) = 2x^(⅓)
x^(⅓) = 2
Therefore;
x = 8 units....
Our Certified, Experienced, Hardworking, Resilient and Productive Mathematics Educators will be happy to be at your service to educate your learner/learners become a lover of Mathematics, and a bet...
Let AB = x
PB = x/4
Therefore;
a = x - (x/4)
a = (3x/4) units.
b² = x²+(3x/4)²
b = √(x²+(3x/4)²) units.
c = (x-4) units.
It implies that;
½(x*(3x/4)) + ½(4*√(x²+(3x/4)²)) + ½(4*(x-4)) + (4*4)...
a = 15-11.25
a = 3.75 m.
b = atan(3/3.75)°
c = 90-atan(3/3.75)
c = 51.34019174591°
Calculating Length CD.
tan(51.34019174591) = 15/CD
CD = 15/tan(51.34019174591)
CD = 12 m.
