
Given that,
In <u>triangle TPQ, </u>
As it is given that, <u>RS || PQ</u>
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

<u>Now, We know </u>
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.





Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
Because it is an isosceles triangle, the two longer sides are the same length. Therefore multiply 6.3 times 2.
To find the length of the base subtract 12.6 from 15.7 to get 3.1 cm.
Answer:
19/42
Step-by-step explanation:
multiply each fraction by the opposite denominator to get the same denominator for both 12+7=19 &6×7=42