Question
Write True or False and justify your answer: The area of $\triangle A B C$ is $8 cm^2$ in which $A B=A C=4 cm$ and $\angle A=90^{\circ}$
✓
Answer
True.Solution:
$\text{Area of }\triangle=\frac{1}{2}\times\text{base}\times\text{height}$ $=\frac{1}{2}\times4\times4=8\text{cm}^2$
Hence, the given statement is true.
$\text{Area of }\triangle=\frac{1}{2}\times\text{base}\times\text{height}$ $=\frac{1}{2}\times4\times4=8\text{cm}^2$
Hence, the given statement is true.Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two congruent circles with centres $O$ and $O′$ intersect at two points $A$ and $B.$ Then $\angle\text{AOB}=\angle\text{AO'B}.$
→Write True or False and justify your answer in the following:
If the length of the diagonal of a cube is $6\sqrt{3}\text{cm},$ then the length of the edge of the cube is $3\ cm$
→If the length of the diagonal of a cube is $6\sqrt{3}\text{cm},$ then the length of the edge of the cube is $3\ cm$
Write the truth value $(T/F)$ of the following with suitable reasons: The degree measure of an arc is the complement of the central angle containing the arc.
→State whether the following statement are true or false. Give reason for your answer. Every integer is a whole number.
The area of the isosceles triangle is $\frac{5}{4}\sqrt{11}\text{cm}^2,$ if the perimeter is $11\ cm$ and the base is $5\ cm$
→The following statements are true?Open half-line $OA$ is same as ray $\overrightarrow{\text{OA}}.$
→The following statements are true and which are false? Sum of any two sides of a triangle is greater than the third side.
If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.
Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $AB = 5\ cm,$ $\angle\text{A}=45^\circ$ and $BC + AC = 5\ cm.$
→