Answer:
x=4
Step-by-step explanation:
We are given that the triangles are congruent.
Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.
Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.
Arabia because she has the largest numbers
Answer:
3500cm^2
Step-by-step explanation:
Area of a triangle= bxh/2
10x10=100
7x10=70
100x70=7000
7000/2=3500
Answer:
Triangle ABC is not a Right Triangle
Step-by-step explanation:
The perimeter of a triangle is all of the sides added together so we can model our equation like so:
AB + BC + CA = P
or
8 + 5 + CA = 22
We first combine like terms
13 + CA = 22
Then make the variable have no numbers on its side
13 + CA = 22
-13 -13
CA = 9
So now that we know what CA is, we can determine whether or not its a right triangle
We can use the Pythagorean Theorem for this:
a^2 + b^2 = c^2 (the '^' symbol means 'to the power of')
or
5^2 + 8^2 = 9^2
Now we Solve
5^2 = 25
8^2 = 64
9^2 = 81
25 + 64 =? 81
89 does not equal 81
So Triangle ABC is not a Right Triangle
Answer:
Step-by-step explanation:
In ΔMOT and ΔMPR,
OT║PR and MR is a transverse,
Therefore, ∠MTO ≅ ∠MRP [Corresponding angles]
Similarly, OT║PR and MP is a transverse,
Therefore, ∠MOT ≅ ∠MPR [Corresponding angles]
ΔMOT ~ ΔMPR → [By AA postulate of similarity]
[Reason → Corresponding sides of the similar triangles are proportional]
[By segment addition postulate]
1 + 
= 1 + 
In ΔTSR,
∠1 ≅ ∠2 [Given]
Therefore, TR ≅ SR [Sides opposite to the equal angles in a triangle are equal]
Therefore, 
Or 
Hence proved.
