The area of a right triangle is given by the expression:
1 answer:
The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u><em>Recall</em></u>:
The area of a triangle =
<em><u>Given</u></em>:
Area of triangle =
Length of one of the legs = 3x + 1
Therefore, it means that multiplying both legs should give us:
To find the expression that models the other leg, divide by 3x + 1:
- <em>Thus</em>:
- Factorize the numerator
- Simplify
Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
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Symmetric property of congruence.
Solution:
Given statement:
If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.
<em>To identify the property used in the above statement:</em>
Let us first know some property of congruence:
Reflexive property:
The geometric figure is congruent to itself.
That is .
Symmetric property of congruence:
If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.
That is .
Transitive property of congruence:
If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.
That is
From the above properties, it is clear that,
If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.