Let each side=x
Use pythagorus
As height at mid of other side
Then: 32=sqrt(X^2-X^2/4)
Therefore X=36.950
Answer:
1)-9
2)16
3)-2
Step-by-step explanation:
1)
-3x + 4 = 31
-3x = 31 - 4
-3x = 27
-x = 27/3
-x = 9
x = -9
2)
2x + -10 = 22
2x = 22 + 10
2x = 32
x = 32/2
x = 16
3)
40 = 32 – 4r
-4r = 40 - 32
-4r = 8
-r = 8/4
-r = 2
r = -2
<u>Additional requirements in figure</u> :-
Mark point :-
Draw a straight line from E to AB .
And the point line joins mark it as "F" .
It will generate quadrilateral FBCD.
we get to know In quadrilateral left angle is 90°
How ?
{
proof :
As three angles are given 90° So third angle will also be 90°
Reason:
→ Sum of interior angles = 2 (no. of angles - 2 × 180°
→Sum of interior angles = (4-2 × 180°)
→Sum of interior angles = (2 × 180°)
→Sum of interior angles = 360°
}
<u>✿</u><u>Now let the left angle be </u><u>x</u>
- 90° +90° + 90° + x = 360°
- 180° + 90° + x = 360°
- 270° + x = 360
- x = 360° - 270°
- x = 90°
<u>we know</u> :
Area of rectangle = Length × Breadth
STEPS :
- Area of rectangle = Length × Breadth
- Area of rectangle = 7 × 8
- Area of rectangle = 56 in²
<u>Now let's find EF</u> :
<u>To find A</u>
<u>F</u> :
<u>In triangle AFE</u>:
- EF is base of triangle
- A•F is height of triangle
We know :
<u>Area of triangle =(</u><u> </u><u>Height</u><u> </u><u>×</u><u> </u><u>Base)/2</u>
Steps :
- Area of triangle = (Height × Base)/2
- Area of triangle = (4 × 3)/2
- Area of triangle = 12/2
- Area of triangle = 6 in²
<u>To find area of figure</u> :
- Area of figure = Area of rectangle + Area of triangle
- Area of figure = 56 + 6
- Area of figure = 62 in²
______________________
~WindyMint
Answer:
Step-by-step explanation:
<h3>Q13</h3>
The greater the angle the greater the opposite side
<u>Sides in ascending order:</u>
- AB = 17, AC = 18, BC = 21
<u>Angles in same order</u>
<h3>Q14</h3>
<u>As above, sides in ascending order:</u>
- AB = 15, AC = 16, BC = 17
<u>Angles in same order</u>
<h3>Q15</h3>
<u>Exterior angle equals to sum of non-adjacent interior angles</u>
- 142° = x + 66°
- x = 142° - 66°
- x = 76°
<h3>Q16</h3>
<u>Same subject and isosceles triangle:</u>
- x + x = 158°
- 2x = 158°
- x = 79°
<h3>Q17</h3>
<u>Same subject</u>
- m∠QSR = m∠QPS + m∠PQS
- 2x = x + m∠PQS
- m∠PQS = 2x - x
- m∠PQS = x
ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles