Question

Base of a triangle is 9 and height is 5. Base of another triangle is 10 and height is 6. Find the ratio of the areas of these trianlge. *​

Answer 1

GIVEN :-

• Base of 1st triangle = 9 units.
• Height of 1st triangle = 5 units
• Base of 2nd triangle = 10 units.
• Height of 2nd triangle = 6 units

TO FIND :-

• Ratio of area of both triangles.

SOLUTION :-

☯ Area For First Triangle,

$\star \: \sf \: base \:(b) = 9 \: unit \\ \star \sf \: height \: (h) \: = 5 \: units \\ \\ \sf \to \: area \: ( 1st \triangle) = \dfrac{1}{2} \times b \times h \\ \\ \to \sf \: \dfrac{1}{2} \times 9 \times 5 \\ \\ \to \boxed{ \red{ \bf \: area \: (1st \triangle) = \dfrac{45}{2}..........(1) }}$

☯ Area of second triangle,

$\star \: \sf \: base \:(b) = 10\: unit \\ \star \sf \: height \: (h) \: = 6 \: units \\ \\ \sf \to \: area \: ( 2nd \triangle) = \dfrac{1}{2} \times b \times h \\ \\ \to \sf \: \dfrac{1}{ \cancel2} \times 10 \times \cancel{6 }\\ \\ \to \boxed{ \red{ \bf \: area \: (2nd \triangle) = 30 \: ..........(1) }}$

☯ According to the Question :-

$\huge { \boxed{{\purple{ \implies \: (1) \div (2)}}}} \\ \\ \implies \: \sf \left(\dfrac{ \dfrac{45}{2} }{30} \right) \\ \\ \implies \sf \: \dfrac{45}{2} \times \dfrac{1}{30} \\ \\ \implies \sf \: \dfrac{ \cancel{45}}{ \cancel{60}} \\ \\ \implies \sf \: \dfrac{3}{4} \\ \\ \implies \boxed{ \red{ \bf \:ratio \: of \: both \: \triangle = 3 \ratio 4 }}$

Hence the ratio of both triangle is 3 : 4.

Answer 2

$\huge\boxed{\fcolorbox{red}{red}{Your Answer}}$

given,

base of 1st △= 9

height of 1st △= 5

base of 2nd △= 10

height of 2nd △= 6

to find,

ratio of the areas of these triangle.

we need to :-

1st:

Area = ½ (b × h) Square Units.

Area of 1st △ ½ (b × h) Square Units.

Area of 1st △ ½ (9 × 5) Square Units.

Area of 1st △ ½ (45) Square Units.

hence, area = 22 1⁄2

2nd:

Area = ½ (b × h) Square Units.

Area of 1st △ ½ (b × h) Square Units.

Area of 1st △ ½ (10 × 6) Square Units.

Area of 1st △ ½ (60) Square Units.

hence, area = 30

therefore,

the ratio of the areas of these triangle = 22 1⁄2:30

= 11 1⁄2:15

${\fcolorbox{red}{purple}{mark \: as \: brainliest \: answer}}$

$\boxed{\fcolorbox{red}{pink}{by \: prashansa2008}}$