The ratio of the area of two triangles is 4:7. If thier areas differ by 36 cm², what is the area of the larger triangle ​

Sagot :

Answer:

A

△2

A

△1

=

7

4

⟹4A

△2

=7A

△1

A

△2

−A

△1

=36 cm

2

⟹A

△2

=A

△1

+36

Replace:

4(A

△1

+36)=7A

△1

4A

△1

+144=7A

△1

3A

△1

=144

A

△1

=48 cm

2

A

△2

=48+36

A

△2

=84 cm

2