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The Area of a Right Angled Triangle is 165 M2. Determine Its Base and Altitude If the Latter Exceeds the Former by 7 M. - Mathematics

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Question

The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.

Solution

Let the base of the right triangle be x meters and the altitude (x + 7) meters Then

According to question,

Areas of the right triangle = 165 m2

And as we know that the area of the right triangle = `1/2xx"base"xx"height"`

`1/2xx x xx(x+7) = 165`

x2 + 7x = 330

x2 + 7x - 330 = 0

x2 - 15x + 22x - 330 = 0

x(x - 15) + 22(x - 15) = 0

(x - 15)(x + 22) = 0

x - 15 = 0

x = 15

or

x + 22 = 0

x = -22

Since negative value is not possible. So = 15 m

Therefore the altitude is

= x + 7 = 15 + 7 = 22

Hence, base of the right triangle be 15m and altitude be 22m.

  Is there an error in this question or solution?

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 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Q: 4 | Page no. 71
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Q: 4 | Page no. 71
Solution The Area of a Right Angled Triangle is 165 M2. Determine Its Base and Altitude If the Latter Exceeds the Former by 7 M. Concept: Solutions of Quadratic Equations by Factorization.
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