Question

construct a right angle triangle pqr in which hypotenuse PR equal to 8 cm and PQ equal to 6​

Answer 1

Answer:

һєʟʟʟo mѧţє һєяє ıs uя ѧňsɰєя ❤

Step-by-step explanation:

of Construction: i)

Draw a line segment QR = 4.5 cm

2)At Q, draw a ray QX making an angle of 90

°

With centre R and radius 8 cm, draw an arc which intersects QX at P. iv)

Join RP. ΔPQR is the required triangle.

v) Draw the bisector of ∠PQR which meets PR in T. vi) From T, draw perpendicular PL and PM respectively on PQ and QR. Proof: In ΔLTQ and ΔMTQ ∠TLQ = ∠TMQ (Each = 90°) ∠LQT = ∠TQM (QT is angle bisector) QT = QT (Common) ∴ By Angle – Angle – side criterion of congruence, ∴ΔLTQ ≅ ΔMTQ (AAS postulate) !!

ı һopє ıţs һєʟp u ✌

Answer 2

$\large{ \textsf{ \textbf{ \red{{Steps \: of \: construction \: :-}}}}}$

• First, draw a line segment PQ of 6 cm.

• Next, take a protractor and keep it's mid-point on the point Q and draw a ray measuring 90°.

• Then, take a compass and measure it as 8 cm and keep it's tip on the point P and draw an arc on the ray drawn.

• Now, join the point where the ray and the arc meets. Name it as point R.

• Finally, the triangle is constructed.

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$\large{ \textsf{ \textbf{ \red{Instruments \: used \: for \: construction \: :-}}}}$

☯ Ruler :- The ruler is used to draw the lines of accurate measurements and the drawn lines should be correct and straight always.

☯ Protractor :- The protractor is used to draw the rays of accurate measurements of degrees. It's also used to measure the angles given.

☯ Compass :- The compass is used to draw the arcs on the ray by taking the measurements from ruler.

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