Question

3 here is a right triangle. name a corresponding height for each base. a. side d b. side e c. side f 4 from unit 1, lesson 8 find the area of the shaded triangle. show your reasoning.

Explanation:

Step1: Recall height - base relationship in right - triangle

In a right - triangle, the two legs can be considered as base and height with respect to each other. If one side is taken as the base, the other leg is the height. For the hypotenuse, the height is the perpendicular distance from the right - angle vertex to the hypotenuse.

Step2: Identify heights for right - triangle in problem 3

a. If side $d$ is the base, the corresponding height is $e$.
b. If side $e$ is the base, the corresponding height is $d$.
c. If side $f$ (the hypotenuse) is the base, the corresponding height is $g$.

Step3: Calculate area of triangle in problem 4

The area of a triangle is given by the formula $A=\frac{1}{2}bh$. The base $b = 6$ and the height $h=(2 + 4)=6$.
$A=\frac{1}{2}\times6\times6$
$A = 18$

Answer:

3.
a. $e$
b. $d$
c. $g$

1. 18