Question

Part 1
Use the Pythagorean theorem to find the unknown side of the right triangle.

Answer 1

• Hypotenuse length = 37

Step-by-step explanation:

According to the question we are given with a right traingle Where base is 35 and the perpendicular is 12.

We need to find the unknown side that is the longest side (Hypotenuse) .

By using pythagoras theorem :

`\longrightarrow \rm \: \: (H)^2 = (B)^2 + (P)^2 \\`

here,

• H represents hypotenuse
• B represents base
• P represents Perpendicular.

Putting the required values in the Pythagoras theorem we will get,,

`\longrightarrow \rm \: \: (H)^2 = (35)^2 + (12)^2 \\ \\ \longrightarrow \rm \: \:(H)^2 =1225 + 144 \\ \\ \longrightarrow \rm \: \:(H)^2 = 1369 \\ \\ \longrightarrow \rm \: \:H = √(1369) \\ \\ \longrightarrow \rm \: \:H = 37 \\`

Therefore, Unknown side of the right triangle i.e hypotenuse is 37 .