Question

Titus is building a triangular frame with three pieces of wood that measure 3inches, 5 inches and 10 inches. Which of the following statement is true about the frame? please use step by step instructions.

Answer 1

Answer:

c. The frame will not be a right triangle because $5^2+3^2\neq 10^2$

Step-by-step explanation:

The dimensions of a right triangle are equated as:

$h^2+b^2=H^2$

where:

• b= base of the triangle
• h=is the perpendicular height of the triangle
• H=is the triangle's Hypotenuse

Given the dimensions 3, 5inches and 10 inches, it's obvious that the longer side is the Hypotenuse.

-We try to equate the dimension's squares;

$b^2+h^2=H^2\\\\H^2=10^2=100\\\\h^2=5^=25\\\\b^2=3^2=9\\\\(25+9)\neq 100$

Hence, the triangle is not a right triangle because $5^2+3^2\neq 10^2$