Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
1 and 6
Step-by-step explanation:
1 + 6 = 7
1 x 6 = 6
Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.


To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

≈ 39.7ft
Answer:
75p²
Step-by-step explanation:
Given data
We are given the expression
(196p²– 121p²)
We can see the p is common in both terms
=p²(196-121)
=p²(75)
=75p²
Hence the factorized form is 75p²