A right triangle is displayed.

Mathematics

1 answer:

Mazyrski [523]3 years ago

5 0

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

You might be interested in

The difference between the squares of two numbers is 20. three times the square of the first number increased by the square of t

Mashcka [7]

We need a system of equations to solve this. "Difference" is to subtract, and we are taking this difference of the 2 squared unknowns to be 20. That equation is $x^{2} -y^2=20$ . Our "first number is x^2, so 3 times that is 3x^2. "Increased by" is adding to that first number. What we are adding is the second number. The second equation is $3x^2+y^2=124$ . Let's solve the first equation for x^2: $x^2=y^2+20$ and sub that value for x^2 into the second equation. $3(y^2+20)+y^2=124$ and $3y^2+60+y^2=124$ . Subtract 60 from both sides and combine the y^2 terms to get $4y^2=64$ . Divide both sides by 4 to get y^2 = 16 and y = 4. Let's go back now and solve for x. We will use the fact that y^2 = 16 to solve for x^2 and then take the square root of it. $x^2-16=20$ , x^2 = 4, so x = 2. Your solutions are x = 2 and y = 4. There you go!

8 0

3 years ago

Write each number in the table to the given place value 95,498

zvonat [6]

8 ones , 9 tens , 4 hundreds , 5 thousands , 9 ten thousands

4 0

3 years ago

Simplify this radical expression → 3√24

borishaifa [10]

Answer:

$\\\sqrt[1]{8}$ $\sqrt[1]{8}$