Question

5. Base of a triangle is 15 and height is 7. Base of another triangle is 18 and height is 5. Hence, the ratio of areas of these triangles will be ........... *

1 point

7 : 6

15 : 18

3 : 14

7 : 5

​

Answer 1

Answer :

›»› The ratio of areas of these triangles will be 7 : 6.

Given :

• Base of a triangle is 15 and height is 7. Base of another triangle is 18 and height is 5.

To Find :

• The ratio of areas of these triangles will be ?

Solution :

For first triangle :

• Base of tiangle = 15
• Height of triangle = 7

As we know that

→ Area of traingle = 1/2 * b * h

→ Area of traingle = 1/2 * 15 * 7

→ Area of traingle = 1 * 7.5 * 7

→ Area of traingle = 7.5 * 7

→ Area of traingle = 52.5

For second triangle :

• Base of tiangle = 18
• Height of triangle = 5

As we know that

→ Area of traingle = 1/2 * b * h

→ Area of traingle = 1/2 * 18 * 5

→ Area of traingle = 1 * 9 * 5

→ Area of traingle = 9 * 5

→ Area of traingle = 45

Now,

The ratio of areas of these triangles.

→ Ratio = Area of first triangle : Area of second triangle.

→ Ratio = 52.5 : 45

→ Ratio = 7 : 6

Hence, the ratio of areas of these triangles will be 7 : 6.

Extra Brainly Knowledge :

⠀⋆ Area of traingle = 1/2 * b * h.

⠀⋆ Perimeter of traingle = Sum of all ⠀ ⠀⠀sides.

⠀⋆ Area of Rectangle = length × breadth

⠀⋆ Perimeter of Rectangle = 2 (l+b)

⠀⋆ Diagonal of Rectangle = √(l)² + (b)²

⠀⋆ Area of Sqaure = Side × Side

⠀⋆ Perimeter of Square = 4 × Side

⠀⋆ Diagonal of Square = √2a

Learn more :

1. Base of a triangle is 6 and height is 4. Base of another triangle is 8 and height is 12. Find the ratio of areas of thes...

brainly.in/question/27256028

2. If the three angles of a triangle are in ratio 2:1:2 . find all the angles of a triangle.

brainly.in/question/27161612

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

For 1st triangle

• Base = 15 unit

• Height = 7 unit

$\:\:$

For 2nd Triangle

• Base = 18 unit

• Height = 5 unit

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Ratio of areas of these triangles

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

• Let area of first triangle be Area

• Let area of second triangle be Area'

$\:\:$

$\underline{\bold{\texttt{Area of triangle :}}}$

$\:\:$

$\bf \dashrightarrow \dfrac { 1 } { 2 } \times base \times height$

$\:\:$

$\green{\bold{For \ 1st \ triangle - }}$

$\:\:$

• Base = 15 unit

• Height = 7 unit

$\:\:$

$\sf \longmapsto Area =\dfrac { 1 } { 2 } \times 15 \times 7$

$\:\:$

$\sf \dashrightarrow Area = \dfrac { 105 } { 2 } sq. unit$

$\:\:$

$\green{\bold{For \ 2nd\ triangle - }}$

$\:\:$

• Base = 18 unit

• Height = 5

$\:\:$

$\sf \longmapsto Area' =\dfrac { 1 } { 2 } \times 18 \times 5$

$\:\:$

$\sf \dashrightarrow Area' = 45 sq. unit$

$\:\:$

$\underline{\bold{\texttt{To find ratio of areas :}}}$

$\:\:$

$\purple\longrightarrow$ $\bf Ratio = \dfrac { Area } { Area' }$

$\:\:$

$\sf \longmapsto Ratio = \dfrac { 105 } { 2 } \times \dfrac { 1 } { 45 }$

$\:\:$

$\sf \longmapsto Ratio = \dfrac { 7 } { 2 } \times \dfrac { 1 } { 3 }$

$\:\:$

$\bf \dashrightarrow Ratio = \dfrac { 7 } { 6 }$

$\:\:$

Or,

$\:\:$

Ratio = 7:6

$\:\:$

• Hence Option 1) i.e 7:6 is correct ratio