Chapter 11: Q36. (page 433)

The base of a triangle is 1cm longer than its altitude. If the area of the triangle is $210 c m^{2}$ , how long is the altitude ?

Short Answer

Expert verified

The length of the altitude is20 cm.

Step by step solution

Step 1. Analyze the given information.

The area of triangle $A = 210 c m^{2}$

Let the altitude bex .

According to the question,

The base of a triangle is1cm longer than its altitude, then the base of triangle will be $b = x + 1$

Step 2. Concept Used.

Area of triangle can be found using the formula

$A = \frac{1}{2} b h$

Where, b= base and h= height of triangle.

Step 3. Use formula of the area of triangle.

$\begin{array}{l} A = \frac{1}{2} b h \\ A = \frac{1}{2} (x + 1) (x) \\ 210 = x^{2} + x \\ x^{2} + x - 210 = 0 \\ (x + 21) (x - 20) = 0 \\ x = - 21, 20 \end{array}$

Since the length can not be negative,

Therefore, the length of the altitude is20cm .

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The base of a triangle is 1cm longer than its altitude. If the area of the triangle is $210 c m^{2}$ , how long is the altitude ?

Short Answer

Step by step solution

Step 1. Analyze the given information.

Step 2. Concept Used.

Step 3. Use formula of the area of triangle.

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The base of a triangle is 1cm longer than its altitude. If the area of the triangle is210cm2, how long is the altitude ?

Short Answer

Step by step solution

Step 1. Analyze the given information.

Step 2. Concept Used.

Step 3. Use formula of the area of triangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

The base of a triangle is 1cm longer than its altitude. If the area of the triangle is $210 c m^{2}$ , how long is the altitude ?