Question

Please help me! Will give brainlst :)

Answer 1

Answer:

12. 6.4

13. 20

Step-by-step explanation:

This is the Pythagorean theorem, which says a^2+b^2=c^2. So for problem 12 we have 4^2+5^2=c^2. Since, 16+25=41, c=sqrt41 which is about 6.4. For problem 13 we have 15^2+b^2=25^2. Since 25^2-15^2=400, b=sqrt400 which is 20. Hope this helps!

Answer 2

Answer:

12. 6.4

13. 20

Step-by-step explanation:

Mathematics: Define and explain.

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared side lengths of a right triangle must equal the hypotenuse when squared.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

$a^2+b^2=c^2$

$a,b-legs$

$c=hypotenuse$

Mathematics: Solve.

In the first triangle, the missing side length is the hypotenuse.

$5^2+4^2=c^2$

$25+16=c^2$

$c^2=41$

**41 IS NOT A PERFECT SQUARE. THEREFORE, I MUST ROUND THE SQUARE ROOT TO THE NEAREST TENTH.**

$6.40312424$ ≈ $6.4$

$c=6.4$

Hence, the hypotenuse, c, is equal to 6.4.

In this second triangle, we are solving the find one of the legs.

$15^2+b^2=25^2$

$225+b^2=625$

$625-225=400$

$b^2=400$

$b=20$

Hence, one of the legs, b, is equal to 20.

Mathematics: Conclude.

12) The missing side is equal to 6.4 when rounded to the nearest tenth.

13) The missing side is equal to 20.