The areas of two similar triangles are 42cm and 262.5cm. if the altitude of the smaller triangle is 7cm. what is the length of the base of the larger triangle?

75 cm

Step-by-step explanation:

It is given that the triangles are similar. It means that the ratio of their areas are equal to the ratio of their bases and ratio of their altitudes.

Let be the area of 1st triangle.

Let be the area of 2nd triangle.

Let be the altitude of 1st triangle.

Let be the altitude of 2nd triangle.

Let be the base of 1st triangle.

Let be the base of 2nd triangle.

Then

We know that area of a triangle is:

Area of smaller triangle:

Now, using part of equation (1):

Hence, base of larger triangle = 75 cm

no, because the sides are not congruent