How to find 2 unknown sides of a right triangle

Asked by admin @ 29/10/2021 in Mathematics viewed by 281 People

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

Answered by admin @ 29/10/2021

Answer:

Option C

Step-by-step 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.

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

Option C should be the correct answer.

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