Question

I need help understanding how to solve this please ASAP!!!!

Answer 1

Answer:

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 =c^2

64+225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

Answer 2

Answer:

The hypotenuse is 17cm

Step-by-step explanation:

Pythagoras theorem is :   $a^{2} +b^{2} =c^{2}$

To work out the hypotenuse of this triangle you would first need to know Pythagoras theorem. The theorem states that $a^{2} +b^{2} =c^{2}$. A and B are the 2 lengths given in this question and c is the hypotenuse.

The first step in working out the hypotenuse is to square the base of 8, this gives you 64.

Then you would need to square the height of 15, this gives you 225. This is because we are substituting the values into a and b.

Then the next step is to add the values of 64 and 225, this gives you 289.

The final step is to root the value of 289, which gives you 17cm. This is because as c is the hypotenuse while the value worked out is c squared and so to work out c you would have to root it.

1) Square the base of 8cm.

$8^{2} =64$

2) Square the height of 15cm.

$15^{2} =225$

3) Add 64 and 225.

$64+225=289$

4) Root the value of 289.

$\sqrt{289}= 17cm$