मराठी

Area of triangle PQR is 100 cm2 (see figure). If altitude QT is 10 cm, then its base PR is ______.

Advertisements
Advertisements

प्रश्न

Area of triangle PQR is 100 cm2 (see figure). If altitude QT is 10 cm, then its base PR is ______.

पर्याय

  • 20 cm

  • 15 cm

  • 10 cm

  • 5 cm

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

Area of triangle PQR is 100 cm2 (see figure). If altitude QT is 10 cm, then its base PR is 20 cm.

Explanation:


We know that, area of triangle = `1/2` × base × height

From the question, it is given that, area of triangle PQR = 100 cm2

Height of the triangle = 10 cm = altitude

Therefore, area of triangle = `1/2` × base × height

100 = `1/2` × PR × 10

PR = `(100 xx 2)/10`

PR = `200/10`

PR = 20 cm

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Perimeter and Area - Exercise [पृष्ठ २७१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
पाठ 9 Perimeter and Area
Exercise | Q 15. | पृष्ठ २७१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The vertices of ∆ABC = are A (4, 6), B(1, 5) and C(7, 2). A line is drawn to intersect sides AB and AC at D and E respectively such that `\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{4}` .Calculate the area of ∆ADE and compare it with the area of ∆ABC


Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.


The vertices of a ΔABC are A (4, 6), B (1, 5) and C (7, 2). A line is drawn to intersect sides AB and AC at D and E respectively, such that `(AD)/(AB) = (AE)/(AC) = 1/4`Calculate the area of the ΔADE and compare it with the area of ΔABC. (Recall Converse of basic proportionality theorem and Theorem 6.6 related to ratio of areas of two similar triangles)


Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of ΔABC.

(i) The median from A meets BC at D. Find the coordinates of point D.

(ii) Find the coordinates of the point P on AD such that AP: PD = 2:1

(iii) Find the coordinates of point Q and R on medians BE and CF respectively such that BQ: QE = 2:1 and CR: RF = 2:1.

(iv) What do you observe?

(v) If A(x1, y1), B(x2, y2), and C(x3, y3) are the vertices of ΔABC, find the coordinates of the centroid of the triangle.


Find the area of the following triangle:


Show that the following sets of points are collinear. 

 (1, −1), (2, 1) and (4, 5)


Find the area of ΔABC with vertices A(0, -1), B(2,1) and C(0, 3). Also, find the area of the triangle formed by joining the midpoints of its sides. Show that the ratio of the areas of two triangles is 4:1.


Find the value(s) of p for which the points (3p + 1, p), (p + 2, p – 5) and (p + 1, –p) are collinear ?


Find the coordinates of the point Q on the x-axis which lies on the perpendicular bisector of the line segment joining the points A(–5, –2) and B(4, –2). Name the type of triangle formed by the points Q, A and B.


Find the missing value:

Base Height Area of Triangle
22 cm ______ 170.5 cm2

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×