Q:

What is the area of triangle RST? 6 square units 9 square units 12 square units 18 square units

What is the area of triangle RST? 6 square units 9 square units 12 square units 18 square units

Accepted Solution

A:
The area of the considered triangle RST is given by: Option A: 9 sq. units.How to find the area of a triangle?If we have:Length of its base = b unitsIts height = h units long,Then we get: Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]The missing image is attached below.If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.Thus, we have:Area of RST = half of length of RS (base) times length of UT (height)As visible from image, we have:Length of RS = 6 blocks of unit length = 6 unitsSimilarly, length of UT = 3 unitsThus, we get:Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.Learn more about area of a triangle here: What is the area of triangle RST? 6 square units 9 square units 12 square units 18 square units 65105b870e6ef.webp