Question

solve this plz i want fast​

Answer 1

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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Answer 2

$\huge\bold\color{blue}{\underbrace{\overbrace{\mathfrak{\color{red}{✍Answer⭐}}}}}$

$\mathtt{ \large{Answer \: \: 1 :- }}$

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°

$\mathtt{\therefore \: 4x+5x+6x=180°}</p><p>$

$\mathtt{ \implies15x = 180°}$

$\mathtt{ \implies \frac{180°\: }{15°\: } }$

$\mathtt{ \implies12°}$

$\color{orange} \mathtt{ \therefore \: All \: \: angles \: \: are : - }$

$\color{green}{\boxed{\implies{\mathtt{4x = 4(12) = 48°}}}}</p><p>$

$\color{green}{\boxed{\implies{\mathtt{4x = 5(12) = 60°}}}}$

$\color{green}{\boxed{\implies{\mathtt{4x = 6(12) = 72°}}}}$

_________________________________________

$\mathtt{ \large{Answer \: \: 2 :- }}$

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