Question

Which equation can be used to find the unknown length, a, in this triangle?

A right triangle has a side with length 15 meters and hypotenuse with length 17 meters. The other side is labeled a.
a squared + 15 squared = 17 squared
15 squared + 17 squared = a squared
a squared + 15 = 17 squared
a + 15 squared = 17 squared

Answer 1

Solution :-

We know that

Base² + Length ² = Hypotenuse²

(a)² + (15)² = 17²

So,

Option A is correct

If we solve it

(a)² + 225 = 289

(a)² = 289 - 225

(a)² = 64

a = √{64}

a = 8

`\\`

Answer 2

9514 1404 393

Answer:

(a) a squared + 15 squared = 17 squared

Explanation:

The Pythagorean theorem tells you the sum of the squares of the sides is equal to the square of the hypotenuse.

a^2 + 15^2 = 17^2 . . . . . . matches the first choice