# If the area of a triangular piece of cardboard is 90 cm², then the length of altitude corresponding to the 20 cm long base is ______ cm.

**Solution:**

Given, the area of a triangular piece of cardboard is 90 cm².

We have to find the length of the altitude corresponding to the 20 cm long base.

Area of triangle = 1/2 × base × altitude

90 = 1/2 × 20 × altitude

90 = 10 × altitude

Altitude = 90/10

= 9 cm

Therefore, the altitude is 9 cm.

**✦ Try This: **If the area of a triangular piece of cardboard is 100 cm², then the length of altitude corresponding to the 50 cm long base is _____ cm.

Given, the area of a triangular piece of cardboard is 100 cm².

We have to find the length of the altitude corresponding to the 50 cm long base.

Area of triangle = 1/2 × base × altitude

100 = 1/2 × 50 × altitude

100 = 25 × altitude

Altitude = 100/25

= 4 cm

Therefore, the altitude is 4 cm.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 46**

## If the area of a triangular piece of cardboard is 90 cm², then the length of altitude corresponding to the 20 cm long base is ______ cm.

**Summary:**

If the area of a triangular piece of cardboard is 90 cm², then the length of altitude corresponding to the 20 cm long base is 9 cm.

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