What's 2x4+60+25+25+48+12+50=?
2 answers:
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Answer with explanation:
Given:
In Δ DEF, ∠3=∠4.
To prove:→ DE=E F
Proof:
1. ∠3=∠4------[Given]
2. →∠1 and ∠ 3 are Supplementary to each other.
(a)⇒∠1 + ∠ 3=180°
→∠2 and ∠ 4 are also Supplementary to each other.
(b)⇒∠2 + ∠ 4=180°
--------------------[Exterior sides in opposite rays]
3. From 1 , a and b
⇒∠ 1 = ∠ 2-------[Two Angles Supplementary to equal Angles are equal to each other]
4.
If two angles of a Triangle are equal , then side opposite to these angles are equal.
Area of the shaded region square cm
Perimeter of the shaded region cm
Solution:
Radius of the quarter of circle = 12 cm
Area of the shaded region = Area of quarter of circle – Area of the triangle
square cm.
Area of the shaded region square cm
Using Pythagoras theorem,
Taking square root on both sides of the equation, we get
cm
Perimeter of the quadrant of a circle =
cm
Perimeter of the shaded region = cm
cm
Hence area of the shaded region square cm
Perimeter of the shaded region cm