Question

the area of a triangle is 30 cm square find the base if the altitude exceeds the base by 7 centimetre​

Answer 1

Step-by-step explanation:

Let the base be x plus 7 cm

and altitude x centimetre

1 by 2 into x into x plus 7 is 30

x square by 2 is 23

x square is 46

$\sqrt{46 =}$

this is the answer

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Answer 2

Answer:

The answer is 5cm

Step-by-step explanation:

Given

Area of triangle = 30 cm square

Let base of the triangle = x cm

Acc to given condition

Altitude = x+7 cm ( Altitude exceeds the base by 7cm)

Area of triangle = 1/2 base x height

30 = 1/2 (x)(x+7)

60 = x Square + 7x

Xsquare+7x-60 = 0

If you factories you will get the roots as

-12 and 5

Since side can't be nagative x = 5cm

Since x is the base of the triangle and

x = 5cm

Therefore base of triangle is 5cm