Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>Side AB is longer than side FD. Option (b) is correct.
Further explanation:
Given:
The options area as follows,
(a). and
are the same length.
(b). is longer than
(c). is shorter than
(d).
Explanation:
The sides opposite to equal angles are equal.
The side opposite to greater angle is greater than the other one.
The measure of is
The measure of is
is greater than
. Therefore, the side opposite to greater angle is greater.
Side AB is longer than side FD. Option (b) is correct.
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter:Triangles
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.