A recipe calls for 2.5 cups of flour and 4 eggs. If only 3 eggs are used, then how many cups of flour should be used?
1 answer:
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Answer:
The correct options are a and b.
Step-by-step explanation:
It is given that triangle ABC with segment AD drawn from vertex A and intersecting side BC.
Two triangle are called similar triangle if their corresponding sides are proportional or the corresponding interior angle are same.
To prove ΔABC and ΔDBA are similar, we have to prove that corresponding interior angles of both triangle as same.
If segment AD is an altitude of ΔABC, then angle ADB is a right angle.
The opposite angle of hypotenuse is right angle. If segment CB is a hypotenuse, then angle ABC is a right angle.
In triangle ΔABC and ΔDBA
(Reflexive property)
(Right angles)
By AA rule of similarity ΔABC and ΔDBA are similar.
Therefore correct options are a and b.
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC =
=
= 18 units²
Area of ΔBDE =
=
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
