Question

Solve for the unknown side in the right triangle if b=24 and c=26 find a

A.8
B.9
C.10
D.11

Answer 1

C

Explanation:

You can use Pythagorean Theorem to find a

c = hypotenuse is the longest side of the right triangle

a² + b² = c²

a² + 24² = 26²

a² = 100

a = 10

Or solving another way,

3-4-5

5-12-13

6-8-10

7-24-25

These are special right triangles.

5 - 12 - 13 => 5x2 - 12x2 - 13x2 => 10 - 24 -26

so, a = 10

Hope this helps ^-^

Answer 2

Option C

Explanation:

Use the Pythagorean Theorem to find the unknown side.

`a^2+b^2=c^2`

We are given that:

• b=24

• c=26

We need to solve for a.

`a^2+24^2=26^2\\\\ \text {Solve Exponents:}\\\rightarrow 24^2 = 576\\\rightarrow 26^2 = 676\\\\a^2+576=676\\\rightarrow a^2+576-576=676-576 \text{ (Subtraction Property of Equality)}\\a^2=100\\√(a^2) =√(100) \text { (Take the square root on both sides.) }\\\\\boxed {a=100}`

Option C should be the correct answer.