Question

2. solve the following
1. Base of a triangle is 6 and height is 5. base of another triangle is 10 and height is 7. find the ratio of area of these triangle.​

Answer 1

Answer:

3

7

Step-by-step explanation:

In triangle,

Base of first triangle =6

Height of first triangle =5

Base of second triangle =10

Height of second triangle =7

= 1× base×height

2

1×base×height

2

=1×6×5

2

1×10×7

2

=3×5

5×7

=15

35

=3

7

Answer 2

Question:-

Base of a triangle is 6 and height is 5. Base of another triangle is 10 and height is 7. Find the ratio of area of these triangle.

Required Answer:-

Given:-

• Base of a triangle is 6 and height is 5
• Base of another triangle is 10 and height is 7

To Find:-

• Ratio of the area of these triangles

Solution:-

We know that:-

• Area of a triangle = 1/2 (base × height) square units

For 1st triangle, we have:-

• Base = 6
• Height = 5

Area of 1st triangle = (1/2 × 6 × 5) sq. units

=> Area of 1st triangle = (1/2 × 30) sq. units

=> Area of 1st triangle = 15 sq. units

• Hence, area of the first triangle is 15 square units

Again,

For 2nd triangle, we have:-

• Base = 10
• Height = 7

Area of 2nd triangle = (1/2 × 7 × 10) sq. units

=> Area of 2nd triangle = (1/2 × 70) sq. units

=> Area of 2nd triangle = 35 sq. units

• Hence, area of second triangle is 35 square units

Now,

Ratio of the area of the triangle = Area of 1st triangle / Area of second triangle

=> Ratio of the area of the triangle = 15 / 35

=> Ratio of the area of the triangle = 3 / 7

Hence, the ratio of the area of these triangles is 3:7