Area of an Acute Triangle

Q.

If area of a triangular piece of cardboard is $90c{m}^2,$ then the length of altitude corresponding to $20cm$long base is ____ $cm.$

Q. Sara bought a triangular-shaped piece of wood with a height of $8$ inches and with a base of $3$ inches. She plans to cover the front with a piece of fabric, how much fabric $\left({\text{in inch}}^2\right)$ will she need?

1. 12

Q. If N is the base of the triangle, letter P represents the height.

1. False
2. True

Q. Find the height of an acute triangle if area of the triangle is $49{\text{unit}}^2$ and the base of this triangle is twice the height of the triangle.

1. 28 unit
2. 21 unit
3. 14 unit
4. 7 unit

Q. What is the area of the triangle in unit${}^2$?

1. 42

Q. The area of the triangle PQR is $72$ square inches. What is the height of the triangle?

1. $18$ inches
2. $36$ inches
3. $9$ inches
4. None of the above

Q. There are two types of grass, green grass and pink grass. One cow eats green grass and other eats pink grass. The region covered is as shown.


Which cow ate more grass? (Units given here are in feet)

1. Cow that ate green grass
2. Cow that ate pink grass
3. Both ate the same amount

Q.
What is the area of the triangle?

1. $22.5{\text{unit}}^2$
2. $20{\text{unit}}^2$
3. $55{\text{unit}}^2$
4. None of the above

Q.
What is the area of the triangle, given each square on the grid represents $1$ unit${}^2?$

1. $32uni{t}^2$
2. $16uni{t}^2$
3. $26uni{t}^2$
4. None of the above

Q. Find the area of the triangle $\left(\text{in inch}{}^2\right)$

1. 25

Q. Find the height of an acute angle triangle of area 400 ${\text{m}}^2$, if the base of a triangle is 20 m.

1. 80 m
2. 10 m
3. 20 m
4. 40 m