Answer:
We conclude that the area of the right triangle is:

Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular

Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1





Therefore, we conclude that the area of the right triangle is:

Hence, option A is correct.
Answer:
TP = 13
Step-by-step explanation:
The height of the trapezoid can be found from the area formula:
A = (1/2)(b1 +b2)h
h = 2A/(b1 +b2) = 2(100)/(32 +8)
h = 5
The horizontal length of each triangular end of the trapezoid is ...
(32 -8)/2 = 24/2 = 12
so the hypotenuse of the triangular end of the trapezoid is ...
TP = √(12^2 +5^2) = √169
TP = 13
The sides of the trapezoid have length 13 units.
Answer:
10
Step-by-step explanation:
Use following log property:

Take log of both sides

Distribute left side, isolate 'x'
We know that the angle at the top of the triangle is 90 degrees by definition
<span>(Angle in the Semicircle Theorem</span>). That makes angle y 45 degrees (as is the angle opposite y). The angle next to 82 degrees is supplementary and therefore is 98 degrees. Since we know we have 98, and 45 degree angles in the triangle already, x must be 37. Since the triangle must have 180 degrees.
Y = 45
X = 37