Question

The area of the right angle triangle is 30 cm square find the length of the base if its height is 7cm more than base

Answer 1

base can't be negative , Therefore x = 5 cm
please mark as brainliest

Answer 2

The length of the base is 5 cm

Step-by-step explanation:

Let the length of base of right angled triangle be x

We are given that its height is 7 cm more than base

So, Height = x+7

Area of right angled triangle = $\frac{1}{2} \times Base \times Height = \frac{1}{2}(x)(x+7)$

We are given that The area of the right angle triangle is 30 cm square

So, $\frac{1}{2}(x)(x+7)=30\\x^2+7x=60\\x^2+7x-60=0\\x^2+12x-5x-60=0\\x(x+12)-5(x+12)=0\\x=5,-12$

Since the length of base cannot be negative

So, the length of the base is 5 cm

#learn more:

If the height of a triangle is 7cm and the length of its base is 9cm then its area is:

https://brainly.in/question/7496737