Question

Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vertex is 9 inches. What is the area of the sign?

Answer 1

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Step-by-step explanation:

The given is,

                    Gabrielle is cutting a triangular sign

                     Base of 8 inches

                     The perpendicular distance from the base of the sign to its vertex is 9 inches

Step:1

             Formula for area of triangle is,

                                               Area, $A = \frac{bh}{2}$.....................................(1)

            Where, b - Base of triangle

                         h -  Height of triangle

            From given value,

                             b - 8 inches

                             h - 9

           Equation (1) becomes,

                                                         $A = \frac{(8)(9)}{2}$      

                                                             $=\frac{72}{2}$          

                                                             = 36

                     Area of triangle sign, A = 36 square inches

Result:

             The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.