Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, 
and 
. The distance between them is given by:
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
Then sum of the squares of its both diagonals is units
Both diagonals measure 
. Sum of squares is:
The correct answer is given by option b.
Answer:
the answer for this is A
Step-by-step explanation:
B,D,Erespectively representing the numbers are: 8,16,19.
8 as seen is the lowest.
16 as seen is the median .
19 as seen is the greatest.
Therefore the answer is A.
Answer:
Step-by-step explanation:
Using the rule of exponents
= 
, then
= 
=
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
