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Answers
Answer:
a) 1st angle=4x
2nd angle=5x
3rd angle=6x
4x+5x+6x=180° (Angle Sum Property)
15x=180°
x=12°
1st angle=4×12=48°, 2nd angle=5×12=60°,
3rd angle=6×12=72°
b) length=24 cm, breadth=x cm, diagonal=26 cm
(24)^2+(x)^2=(26)^2. (Pythagoras Theorem)
576+(x)^2=676
(x)^2=676-576
(x)^2=100. x=10 cm
Perimeter = Length × Breadth
24 × 10 = 240 cm
Step-by-step explanation:
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Given :-
- Triangle
- Ratio of their angle = 4:5:6
To find :-
- All angles of triangle
Let :-
- Ratio be in x form
- Then It will be , 4x , 5x ,6x
As we know that sum of all angle of triangle is 180°
_________________________________________
Given:-
- Rectangle
- Length :- 24cm
- Diagonal :- 26 cm
To find:'
- Perimeter of rectangle
Let
- breadth of the rectangle = b m
Applying Pythagoras Theorem in triangle ABC,
We get,
=> (AC)2 = (AB)2 + (BC)2
=> (25)2 = (24)2 + (b)2
=> 625 = 576 + (b)2
=> 625 – 576 = b2
=> 49 = A2
=> √7x7 = b
∴ b = 7 cm
Now, perimeter of the rectangle
= 2(l + b)
= 2(24 + 7)
= 2(31)
= 62 cm