Angle ABC is a right angle. Write and solve an equation to determine the value of the variable, x. Then determine the measures o
f ∠ABD and ∠DBC. SHOW ALL WORK *
2 answers:
You are told that the triangle is a right triangle so you know that the angle ABC is 90 degrees. From there you can say that the edition of both expressions will be equal to 90. You use this information to create an equation as the one I showed and solve for x using distributive property, combining like terms, opposite operations and commutative property. Once you have the value of x you can substitute into each expression to find out the measurement of ABD and DBC
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Answer:
6m
Step-by-step explanation:
the side of first square = 3 m
area of first square = 3^2= 9 m^2
let the side of second square = x m
since diagonal of first square = x m as per the question
in a square each angle is 90 degree
therefore by applying pythagorus theorem ,
diagonal ^2 = side^2 + side ^2
diagonal^2 = 3^2+3^2=9+9
DIAGONAL= square root of 18
diagonal= 3 m = side of second square
therefore in second square ,
one angle is 90 degree , therefore by applying pythagorue theorem
diaqonal^2 = side ^2 + side ^2 = (3)^2 + ( 3
)^2
diagonal ^2 = 18 + 18
diagonal = square root of 36
therefore diagonal of second square is 6m
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