2. ABCD is a quadrilateral composed of two right triangles where AD = 3, AB = AD + 1, and DC = AD *AB. a. Find AB, DC, BD, and BC.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
given that :- ABCD is a quadrilateral composed from two right triangles:-
where, AD=3 , AB=AD+1 , DC=AD*AB
AB,DC,BD,BC=?
so AB=AD+1
AB=3+1 (AD=3)
AB=4
DC=AD*AB
DC=3*4
DC=12
now as we know that ABCD is a quadrilateral which is composed from two right triangles
so, ABD is a right triangle where AB=4, AD=3 and BD=?
RIGHT TRIANGLE follows pythagoras theorem => perpendicular^2+base^2=hypotenuse^2
Perpendicular=AD
base=AB
hypotenuse=BD
AD^2+AB^2=BD^2
3^2+4^2=BD^2
9+16=BD^2
25=BD^2
BD=root 25
BD=5