Question

Q. 12 The perimeter of a triangle is 60 cm and its sides are in the ratio 3:4:5. What is its area of
the triangle ?​

Answer 1

Answer:

12 The perimeter of a triangle is 60 cm and its sides are in the ratio 3:4:5. What is its area of

the triangle ?Answer

Perimeter of triangle = 60m & sides are in ratio 5:12:13

⇒5x+12x+13x=60⇒

x=2

∴ Sides are 10,24,26m.

From ΔABD & ΔADC

AD

2

=10

2

−x

2

=24

2

−(26−x)

2

⇒100−x

2

=576−676−x

2

+52x

⇒

x=3.846

∴AD

2

=10

2

−(3−846)

2

⇒AD=9.23=

9

13

3

m

Answer 2

Answer:

hope it will help you.

Step-by-step explanation:

Perimeter of triangle = 60m & sides are in ratio 5:12:13

⇒5x+12x+13x=60⇒x=2

∴ Sides are 10,24,26m.

From ΔABD & ΔADC

AD²- 10²-x²=24² −(26−x)²

⇒100−x² =576−676−x²+52x

⇒

x=3.846

∴AD² =10² −(3−846)²

⇒AD=9.23