An acute angled triangle has only one acute angle.

Important Questions on The Triangle and its Properties

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

For a Right angled triangle, two connected sides are 1.5 & 2 cm. Find the area of circumcircle? 

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

The length of side $AB$ and side $BC$ of a scalene triangle $ABC$ are $12 \mathrm{cm}$ and $8 \mathrm{cm}$ respectively. The measure of angle $C$ is $59°$. Find the length of side $AC$

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

$∆$$DEF$ is right angled at E. If m $\angle F={30}^o$, then find the value of $\left[\cos D-\frac{1}{\sqrt{2}}\right]$.

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In $\Delta \mathrm{ABC}, AB=c \mathrm{cm}, AC=b \mathrm{cm}$and $CB = a \mathrm{cm}$. If $\angle A=2\angle B$ , then which of the following is true?

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In the given figure $△\mathrm{ABC}$, if $\theta =80°,$ the measure of each of the other two angles will be:

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In $∆ABC, \angle A=90°$, $M$ is the midpoint of $BC$ and $D$ is the point on $BC$ such that $AD\perp BC$. If $AB=7cm$ and $AC=24cm$, then $AD:AM$ is equal to?

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In $△ABC,$ the measure of angle$\angle ABC$ is $90°$. If $\text{tan}A=\frac{12}{5},$ and $AB=1 cm$, then what is the length (in $cm$) of side $BC?$

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In triangle ABC, if $\angle B=90°, AB=21 \mathrm{cm} \text{and} \mathrm{BC}=20 \mathrm{cm}$, then $\frac{1+\sin A-\cos A}{1+\sin A+\cos A}$ is equal to:

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

What is the area of a triangle whose sides are $7 \mathrm{cm}, 24 \mathrm{cm} \mathrm{and} 25 \mathrm{cm}?$

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

The sum of all the three sides of an equilateral triangle is $15\sqrt{3} \mathrm{cm}$. The height of the triangle is_____.

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

BD and CE are the medians of $$$△ABC$, right angles at A. If CE $=\frac{5\sqrt{13}}{2} \mathrm{cm}$, BC $=10 \mathrm{cm}$, then the length of BD is ____.

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In a Triangle , if $\mathrm{AB}=\mathrm{AC}$ and $\angle \mathrm{ABC}=72°$ , then $\angle \mathrm{BAC}$is:

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In a right-angled triangle $\mathrm{ABC}$ right angled at $\mathrm{C}, \sin \mathrm{A}=\sin \mathrm{B}$. What is the value of $\cos \mathrm{A}?$

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

In $∆$$PQR$ measure of angle $Q$ is ${90}^o$. If $\tan P=\frac{24}{7}$ and $PQ =14cm$, then what is the length of side $QR$ in cm.

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

What is the perimeter of a right-angled triangle whose sides (making $90°$) are $20\sqrt{3} \mathrm{cm} \mathrm{and} 15\sqrt{3} \mathrm{cm}$?

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

Point M and N are on the sides PQ and QR respectively of a triangle PQR, right angled at Q. If $\mathrm{PN}=9 \mathrm{cm}, \mathrm{MR}=7\mathrm{cm}, \text{and} \mathrm{MN} = 3 \mathrm{cm}$, then find the length of PR (in cm).

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

Triangles ABC and DBC are right-angled triangles with common hypotenuse BC, BD, and AC intersect at P when produced. If $\mathrm{PA}=8 \mathrm{cm}, \mathrm{PC}=4 \mathrm{cm}$ and $\mathrm{PD}=3.2 \mathrm{cm}$, then the length of BD in cm is:

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

$∆\mathrm{ABC}$ is an equilateral triangle with side $18 \mathrm{cm}.$D is a point on BC such that BD$=\frac{1}{3}\mathrm{BC}$ . Then length (in cm) of A D is:

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

The perimeter of an isosceles triangle is $50 \mathrm{cm}$. If the base is $18 \mathrm{cm}$, then find the length of the equal sides.

EASY

Mathematics>Geometry>The Triangle and its Properties>Triangle and its Types

The side of an equilateral triangle is $10 cm$. Find its area (in $c{m}^2$).