Question

Find the Value of X and the area of the picture below pls need this for a quiz

Answer 1

x = 8cm

Area = 30cm²

Using Pythagoras theorem ,

Hypotenuse² = Base² + Height²

→ 17² = 15² + x²

→ 289 - 225 = x²

→ 64 = x²

→ x = √64

→ x = 8cm

Area = 1/2 × Base × height

=> 1/2 × 15 × 8

=> 2 × 15

=> Area = 30cm²

Answer 2

x=8

Area= 60

Explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2.

c is always the longest side of the triangle, or the hypotenuse. The other two variables can be interchanged.

Let's plug the numbers into the equation now.

a^2+15^2=17^2

2. Square the two numbers you are given and isolate a.

15^2 (or 15 x 15) = 225

17^2 (or 17 x 17) = 289

So, the equation becomes: a^2 + 225 = 289

To get a by itself, subtract 225 from both sides and take the square root of the result

289-225= 64

√64 = 8

a= 8. x=8

3. Now that you have x, you can calculate the area if the triangle. The area formula for triangles is 1/2 base x height

Base is 15 and height is 8

15 x 8 = 120

120 x .5 = 60