Question

4) Base of a triangle is 9 and the
height is 5. The Base of another
triangle is 10 and the height is 6. Find
the ratio of areas of these triangles.
5.3
O 3:5
03:4
4:3​

Answer 1

Step-by-step explanation:

base of 1st triangle =9and height is 5

base of 2nd triangle is 10 and height is 6

1)base*height = 45

2) base * height =60

ans is 45/60

=3:4

Answer 2

Question:-

Base of a triangle is 9 and the height is 5. The Base of another triangle is 10 and the height is 6. Find the ratio of areas of these triangles.

a) 5.3

b) 3:5

c) 3:4

d) 4:3

Answer:-

• The ratio of areas of two triangles is 3:4.

Solution:-

$\boxed{ \large{area = \frac{1}{2} \times base \times height}}$

☆TRIANGLE 1

• Base = 9 cm
• Height = 5 cm

$\implies \: area = \frac{1}{2} \times9 \times 5 \\ \\ \implies \: area =22.5 \: {cm}^{2}$

• Area of TRIANGLE 1 is 22.5 cm²

______________________________

☆TRIANGLE 2

• Base = 10 cm
• Height = 6 cm

$\implies \: area = \frac{1}{2} \times 10 \times 6 \\ \\ \implies \: area = 5 \times 6 \\ \\ \implies \: area = 30 \: \: {cm}^{2}$

• The area of TRIANGLE 2 is 30 cm².

_____________________________

$\boxed{ \large{ratio = \frac{area \: of \: triangle1}{area \: of \: triangle2} }}$

$\implies \: ratio = \frac{22.5}{30} \\ \\ \implies \: ratio = \frac{3}{4} \\ \\ \implies \: ratio = 3 : 4$

• The ratio of areas of these two triangle is 3:4.

The correct option is (c).