The area of a right triangle is 60 sq cm. Its base is 7 cm longer than its height. Let the height be x cm; base = (x + 7) cm. Form a quadratic from 1/2*base*height = 60 and solve by factorisation. What is the height (in cm)?

Question

Accepted Answer

8. 1/2(x)(x+7) = 60 gives x^2 + 7x - 120 = 0 = (x + 15)(x - 8). x = 8 (reject -15). Height = 8 cm.

The area of a right triangle is 60 sq cm. Its base is 7 cm longer than its height.
Let the height be $x$ cm; base = $(x + 7)$ cm. Form a quadratic from $\frac{1}{2}$ baseheight = 60 and solve by factorisation.
What is the height (in cm)?

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More Class 10 Solving by Factorisation practice

The area of a right triangle is 60 sq cm. Its base is 7 cm longer than its height.Let the height be x cm; base = (x+7) cm. Form a quadratic from 21​*base*height = 60 and solve by factorisation.What is the height (in cm)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Solving by Factorisation practice

The area of a right triangle is 60 sq cm. Its base is 7 cm longer than its height.
Let the height be $x$ cm; base = $(x + 7)$ cm. Form a quadratic from $\frac{1}{2}$ baseheight = 60 and solve by factorisation.
What is the height (in cm)?