Some Common Mistakes while Selecting the Base and the Height of any Triangle

Q. Find the sum of areas of triangle ABC and AEC as shown in the figure given below.

1. $\frac{be+eh}{2}{\text{unit}}^2$
2. $\frac{bd+ah}{2}{\text{unit}}^2$
3. $\frac{b(d+c)+eh}{2}{\text{unit}}^2$
4. $\frac{bd+eh}{2}{\text{unit}}^2$

Q.
If the area of this triangle is 55 square units, then its height isunits?

1. $10$
2. $15$
3. $12$

Q. John built a tent in the shape of an equilateral triangle. The perimeter of the tent is $57$ meters. What is the length (in meters) of each of the tent’s sides?

1. 19

Q.
Look at the triangle's base. Which letter indicates the height?

1. C only
2. D only
3. Both C and D
4. Neither C nor D

Q. Which of the following represent correct pairs of height of the triangle and its respective base?

1. Base - AB, height- CE
2. Base - BC, height- AD
3. Base - AC, height- FB
4. Base - AB, height- BF

Q. Find the area of a traingle ABC.

1. $\frac{ch}{2}{\text{unit}}^2$
2. $\frac{bh}{2}{\text{unit}}^2$
3. $\frac{ah}{2}{\text{unit}}^2$
4. $\frac{abch}{2}{\text{unit}}^2$

Q.
Which letter indicates the triangle's height?

1. A only
2. B only
3. Both A and B
4. Neither A nor B

Q. Which of the following is correct regarding base and height of the triangle shown in the figure below?

1. Base $=b$, Height $=d$
2. Base $=b+e$, Height $=b$
3. Base $=b$, Height $=d$
4. Base $=b$, Height $=a$

Q.
For the triangle above,
Baseand Area.

1. $24ft$
2. $12ft$
3. $13ft$
4. $19ft$
5. $114f{t}^2$
6. $288f{t}^2$

Q.
Find the area of the unfolded envelope shown. (Measures are given in inches)

1. 72