find the area of right triangle whose hypotenuse is 13 cm and one side is 5cm.​

Question

find the area of right triangle whose hypotenuse is 13 cm and one side is 5cm.​

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Isabella 3 weeks 2021-09-09T04:56:48+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-09T04:57:50+00:00

    Answer

    Area of the rectangle = 30 cm²

    Given

    One side of right angled triangle is 5 cm

    Hypotenuse of right angled triangle is 13 cm

    To Find

    Area of right angled triangle

    Have a look at

    We have one side and hypotenuse of right angles triangle , so to find other side we need to apply Pythagoras theorem .

    Area of triangle ,

    \rm{\pink{A=\dfrac{1}{2}\times b\times h\ \; \bigstar}}

    Solution

    Apply pythagoras theorem for finding remaining side of right angled triangle ,

    Let that be , ” x “

    \to\ \rm x^2+5^2=13^2\\\\\to\ \rm x^2+25=169\\\\\to\ \rm x^2=169-25\\\\\to\ \rm x^2=144\\\\\to\ \rm{\green{x=12\ cm\ \; \bigstar}}

    So , base of the triangle = 12 or 5

    height of the triangle = 5 or 12

    Apply formula ,

    \to\ \rm A=\dfrac{1}{2}\times 5\times 12\\\\\to\ \rm A=5\times 6\\\\\to\ \rm{\blue{A=30\ cm^2\ \; \bigstar}}

    So , Area of the rectangle = 30 cm²

    0
    2021-09-09T04:58:39+00:00

    ANSWER:-

    Given:

    One side of rght. angled triangle(\triangle)=\bf{5 \: cm}

    Hypotenuse[H] of right angled triangle= \bf{13 \: cm}

    To Find:

    Area of right angled triangle

    ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

    FORMULA:-

    \boxed{\bf{A=\dfrac{1}{2}\times b\times h}}

    ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

    Applying Pythagoras THEOREM:-

    \boxed{\bf{(Perpendicular)^2 + (Base)^2 = (Hypotenuse)^2}}

    Assume that side be, \bf{" x "}

    \longrightarrow{x^2+5^2=13^2}

    \longrightarrow{x^2+25=169}

    \longrightarrow{x^2=169-25}

    \longrightarrow{x^2=144}

    \implies \bf{x=12 \: cm}

    Applying formula of Area:-

    A=\dfrac{1}{2}\times 5\times 12

     A=5\times 6

    \large{\bf{A=30\ cm^2}}

    •Therefore,

    \large \bf {Area \: of \: the \: rectangle = 30 cm^2}

    ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

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