Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Answer:
<h2>A.221.7</h2>Step-by-step explanation:
god bless
The perimeter of the equatorial triangle is 24 units
<h3><u>Solution:</u></h3>Given that,
An equilateral triangle has an height equal to
The triangle is shown below
From Triangle ABC in the shown figure AD
Let the sides of the equilateral triangle be ‘a’
AB = BC = a
Since, it is an equilateral triangle we get,
BD = DC = a ÷ 2
Now, using Pythagoras Theorem in Triangle ABD,
The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
a = 8
Hence, the three sides of the triangle are 8 units each
In equilateral traingle, length of all three sides of triangle are equal
So, Perimeter = 3 (Length of each side of triangle)
Perimeter = 3 8 = 24
Thus the perimeter of the equatorial triangle is 24 units
